Question

find the difference 5 1/8-2 5/12​

Answer 1

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Find the difference 5 1/8-2 5/12

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$⇒ 5 \frac{1}{8} - 2 \frac{5}{12} \\ ⇒ \frac{41}{8} - \frac{29}{12} ∴ \: L.C.M \: of \: 8 \: and \: 12 \: = \: 24 \\ ⇒ (\frac{123 - 58}{24} ) \\ ⇒ \frac{65}{24}$

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✳ Hence, The Required Answer ⇒ 65/24

Answer 2

Answer:

$\sf\frac{65}{24} \: (or) \: 2 \frac{17}{24}$

Step-by-step explanation:

First, convert mixed fraction into improper fraction

$\sf q \frac{r}{d} = \frac{q \times d + r}{d}$

$\sf5 \frac{1}{8} = \frac{5 \times 8 + 1}{8} = \frac{41}{8}$

$\sf 2\frac{5}{12} = \frac{2 \times 12 + 5}{12} = \frac{29}{12}$

Now, find the LCM of the denominators

2 | 8, 12

2 | 4, 6

2 | 2, 3

3 | 1, 3

1, 1

LCM of 8 and 12 = 2 × 2 × 2 × 3

= 24

$\sf \frac{41 \times 3}{8 \times 3} = \frac{123}{24}$

$\sf \frac{29 \times 2}{12 \times 2} = \frac{58}{24}$

$\sf \frac{123}{24} - \frac{58}{24} = \frac{123 - 58}{24} = \frac{65}{24}$

Now, convert improper fraction into mixed fraction

2 => Quotient

24 | 65

- 48

17 => Remainder

$\sf q \frac{r}{d} = 2 \frac{17}{24}$