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Half of a large pizza is cut into 4 equalsized pieces, and the other
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17 Jun 2018, 19:44
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Half of a large pizza is cut into 4 equalsized pieces, and the other half is cut into 6 equalsized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten? A. 5/12 B. 13/24 C. 7/12 D. 2/3 E. 17/24
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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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17 Jun 2018, 20:55
Drawing out a pizza (well, a circle) would probably be the best way to visualize this question. You can then see what is being eaten and what is not. But anyways, the way to solve it 'correctly' I suppose is to make each half of the pizza a fraction that can be worked with easily. So the first half is divided into four pieces. Imagine that if the pizza was divided evenly, then you have 4/8 of the pizza this way. The other half would therefore be 6/12. Now, since a large slice was eaten, the 4/8 is reduced to 3/8. Two of the smaller slices were eaten, and hence 6/12 is reduced to 4/12. Now, we just need to add 3/8 and 4/12 together to get the answer. Notice that in the answers, you have 3, 12, and 24 as denominators. I just take the largest one  because in this case, you can always simplify an answer with a denominator of 24 to one with a denominator of 3 or 12 if need be/possible, but it's harder to work with the other denominators if either is not the answer. So we have 3/8 + 4/12 <=> 9/24 + 8/24 <=> 17/24. Hence the answer is E.
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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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17 Jun 2018, 23:00
Solution Given:• Half of a large pizza is cut into 4 equalsized pieces • The other half is cut into 6 equalsized pieces • A person ate 1 of the larger pieces, and 2 of the smaller pieces To find:• What fraction of the pizza would remain uneaten Approach and Working:We are dividing the whole pizza into two halves, each of which is divided into 4 parts and 6 parts. • Therefore, we can assume the total area of the pizza to be 24x sq. units [LCM of 4 and 6] For each part divided into 4 smaller parts, • The area = \(24x * \frac{1}{2} * \frac{1}{4} = 3x\) For each part divided into 6 smaller parts, • The area = \(24x * \frac{1}{2} * \frac{1}{6} = 2x\) Therefore, the person ate = 3x + 2x + 2x = 7x • So, fraction of the pizza that is uneaten = \(\frac{24x – 7x}{24x}\) = \(\frac{17}{24}\) Hence, the correct answer is option E. Answer: E
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Half of a large pizza is cut into 4 equalsized pieces, and the other
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18 Jun 2018, 10:45
Bunuel wrote: Half of a large pizza is cut into 4 equalsized pieces, and the other half is cut into 6 equalsized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?
A. 5/12
B. 13/24
C. 7/12
D. 2/3
E. 17/24 Another way  just fractions. The pizza = 1. Leave that aside until the end. 1) \(\frac{1}{2}\) of a pizza is cut into 4 equal pieces* Each newly cut piece becomes: \(\frac{(\frac{1}{2})}{4}=\frac{1}{8}\) 2) The other 1/2 of the pizza is cut into 6 equal pieces Each newly cut piece: \(\frac{(\frac{1}{2})}{6}=\frac{1}{12}\) 3) 1 larger piece and 2 smaller pieces are eaten. Total eaten: \((\frac{1}{8}+\frac{2}{12})=(\frac{3}{24}+\frac{4}{24})=\frac{7}{24}\) Take the denominator as the basis for a "whole" of 1. The pizza ( \(=1=\frac{24}{24}\)) 4) Total not eaten: \((\frac{24}{24}\frac{7}{24})=\frac{17}{24}\) Answer E *\(\frac{1}{2}\) cut equally into = "divided by" 4: \(\frac{(\frac{1}{2})}{4}\). The divisor, 4, has an implied denominator of 1 in the expression: \(\frac{(\frac{1}{2})}{(\frac{4}{1})}\) . . . invert and multiply.
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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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18 Jun 2018, 12:06
1  1/8  2/12 = 17/24 Answer E



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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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20 Jun 2018, 17:23
Bunuel wrote: Half of a large pizza is cut into 4 equalsized pieces, and the other half is cut into 6 equalsized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?
A. 5/12
B. 13/24
C. 7/12
D. 2/3
E. 17/24 Each larger piece is (1/2)/4 = 1/8 of the pizza and each smaller piece is (1/2)/6 = 1/12 of the pizza. Thus, 1 larger piece and 2 smaller pieces are 1/8 + 2(1/12) = 3/24 + 4/24 = 7/24 of the pizza, and the portion of the pizza that remains after these 3 pieces are eaten is 1  7/24 = 17/24. Answer: E
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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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20 Jun 2018, 22:11
Bunuel wrote: Half of a large pizza is cut into 4 equalsized pieces, and the other half is cut into 6 equalsized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?
A. 5/12
B. 13/24
C. 7/12
D. 2/3
E. 17/24 Given that half a pizza is cut into 4 pieces, we get 4 pieces of each 1/8 th of the full pizza the other half is cut into 6 pieces, we get 6 pieces of each 1/12 th of the full pizza The person ate 1 large piece & 2 smaller pieces = 1/8 + (2*1/12) = 7/24 of the pizza is eaten We are asked fraction of pizza that is uneaten = 1  7/24 = 17/24 Answer E. Thanks, GyM
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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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20 Jun 2018, 22:48
Solution Given:• A pizza is cut into two equal halves. • One half is further cut into 4 equal size pieces. • Another half is cut into 6 equal size pieces. • A person eats 1 slices from 4 equal size pieces and 2 slices from 5 equal size pieces. To find:• We need to find what fraction of the pizza will remain uneaten. Approach and Working: Let’s assume that complete pizza is of size x. • Now, when pizza is cut into two equal halves, each half will be of x/2 size.
One half is cut in 4 slices: • When x/2 pizza is further cut into 4 equal slices then each slice will be of x/8 size. Another half is cut in 6 slices: • When x/2 pizza is further cut into 6 equal slices then each slice will be of x/12 size. Now, if A person eat 1 slices from 4 equal size pieces and 2 slices from 5 equal size pieces. • He will eat x/8+2* (x/12)= x/8+x/6= 7x/24 size of the pizza. Hence, the uneaten pizza will be 17x/24 or 17/24 fraction of the pizza will remain uneaten. Hence, the correct answer is option E. Answer: E
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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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25 Aug 2018, 08:53
Assume pizza is a circle so half pizza is a semi circle with angle 180 For 4 pieces=180/4=45 For 6 pieces=180/6=30 So large pizza piece is of 45 angle Niw if a person were to eat 1 large and two small pieces so total eaten part would be= 45+2(30)=105 Total uneaten part is=360105=255 So fraction is = 255/360 = 17/24 Posted from my mobile device
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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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25 Aug 2018, 11:22
Bunuel wrote: Half of a large pizza is cut into 4 equalsized pieces, and the other half is cut into 6 equalsized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?
A. 5/12
B. 13/24
C. 7/12
D. 2/3
E. 17/24 Answer is E Consider kudos if that helped. Attachment:
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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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22 Oct 2018, 11:29
Bunuel wrote: Half of a large pizza is cut into 4 equalsized pieces, and the other half is cut into 6 equalsized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?
A. 5/12
B. 13/24
C. 7/12
D. 2/3
E. 17/24 \(\frac{1}{2}\) is cut into 4 slices Another \(\frac{1}{2}\) is cut into 6 slices He ate \(\frac{1}{4}\) of the \(\frac{1}{2}\) so it is \(\frac{1}{2} * \frac{1}{4} = \frac{1}{8}\) Similarly for the other half he ate \(\frac{2}{6}\), so it is \(\frac{2}{6} * \frac{1}{2}\) = \(\frac{1}{6}\). Total eaten = \(\frac{1}{8} + \frac{1}{6} = \frac{3}{24} + \frac{4}{24} = \frac{7}{24}\) Uneaten = 1  Eaten = \(1  \frac{7}{24} = \frac{24}{24}  \frac{7}{24} = \frac{17}{24}\) Answer choice E



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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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08 Jan 2019, 12:15
Given: • Half of a large pizza is cut into 4 equalsized pieces • The other half is cut into 6 equalsized pieces • A person ate 1 of the larger pieces, and 2 of the smaller pieces
To find: • What fraction of the pizza would remain uneaten
Approach and Working: We are dividing the whole pizza into two halves, each of which is divided into 4 parts and 6 parts. • Therefore, we can assume the total area of the pizza to be 24x sq. units [LCM of 4 and 6]
For each part divided into 4 smaller parts, • The area = 24x∗12∗14=3x24x∗12∗14=3x For each part divided into 6 smaller parts, • The area = 24x∗12∗16=2x24x∗12∗16=2x Therefore, the person ate = 3x + 2x + 2x = 7x • So, fraction of the pizza that is uneaten = 24x–7x24x24x–7x24x = 1724



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Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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14 Jan 2019, 23:24
1/2 part into 4 equals > 1.5x each 1/2 part into 6 equals > 1x each
total > 12 parts >12x
eaten > 1.5x + 2x not eaten > 4.5x + 4x
fraction not eaten = 8.5 /12 ==> 85/120 ==> 17/24




Re: Half of a large pizza is cut into 4 equalsized pieces, and the other
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