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Marta ate a quarter of a whole pie. Edwin ate 1/4 of what was left. Cristina then ate 1/3 of what was left. What fraction of the pie remains? answer is 3/8 how do you come up with this answer?

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anonymous12345678901

After Martha ate 1/4 of the pie there is 3/4 left.

Edwin ate 1/4 of 3/4.

so multiply 1/4 and 3/4 ---> 1/4*3/4=3/16

to find the leftover subtract 3/16 from 3/4

3/4-3/16

12/16-3/16=9/16

Christina ate 1/3 of 9/16

multiply 1/3 by 9/16

1/3*9/16=3/16

find the leftover by subtracting 3/16 from 9/16

9/16-3/16=6/16

divide by 2

3/8

alinakincsem

Answer:

[tex] \frac {3} {8} [/tex]

Step-by-step explanation:

Maria ate a quarter of a whole pie = [tex]\frac{1}{4}[/tex]

Left over pie = [tex] 1 - \frac {1} {4} = \frac {3} {4} [/tex]

Edwin ate 1/3 of what was left = [tex] \frac {1} {4} * \frac {3} {4} = \frac {3} {16} [/tex]

Left over pie = [tex]\frac{3}{4} - \frac{3}{16} =\frac{9}{16}[/tex]

Cristina ate 1/3 of what was left = [tex]\frac{1}{3}*\frac{9}{16}=\frac{3}{16}[/tex]

Left over pie = [tex]\frac{9}{16} - \frac {3} {16} = \frac {6} {16} = \frac {3} {8}[/tex]

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