Question

the difference between the largest and the smallest of the fractions 5/8,7/12,1/3,2/5,is

Answer 1

then largest one is 75/120 and smallest one is 40/120 then subtract 40 from 75 answer is 35/120 and lowest from of 35/120 is 7/24

Hope it's helpful for you

Answer 2

The difference between the largest and the smallest of the fractions is 7/24

Given :

The fractions 5/8 , 7/12 , 1/3 , 2/5

To find :

The difference between the largest and the smallest of the fractions

Solution :

Step 1 of 3 :

Write down the given fractions

Here the given fractions are 5/8 , 7/12 , 1/3 , 2/5

Step 2 of 3 :

Find largest and the smallest of the fractions

LCM of the denominators = 240

$\displaystyle \sf \frac{5}{8} = \frac{5 \times 15}{8 \times 15} = \frac{75}{120}$

$\displaystyle \sf \frac{7}{12} = \frac{7 \times 10}{12 \times 10} = \frac{70}{120}$

$\displaystyle \sf \frac{1}{3} = \frac{1 \times 40}{3 \times 40} = \frac{40}{120}$

$\displaystyle \sf \frac{2}{5} = \frac{2 \times 24}{5 \times 4} = \frac{48}{120}$

Now ,

$\displaystyle \sf \frac{75}{120} > \frac{70}{120} > \frac{48}{120} > \frac{40}{120}$

$\displaystyle \sf \therefore \: \: \frac{5}{8} > \frac{7}{12} > \frac{2}{5} > \frac{1}{3}$

Largest fraction = 5/8

Smallest fraction = 1/3

Step 3 of 3 :

Calculate difference between the largest and the smallest of the fractions

The difference between the largest and the smallest of the fractions

$\displaystyle \sf = \frac{5}{8} - \frac{1}{3}$

$\displaystyle \sf = \frac{15 - 8}{24}$

$\displaystyle \sf = \frac{7}{24}$

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