Question

1/4×2/7_5/14×-2/3+3/7×8/2
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Answer 1

Let us know how to add or multiply two fractions :

We take two fractions 1/2, 3/7.

1. we find the LCM of the denominators 2, 7, which is (2 × 7) = 14
2. Now divide LCM = 14 by 2. The result is 7 and we multiply the numerator 1 by this 7. We have (1 × 7) = 7.
3. There is addition, so we just only take the addition (+) symbol.
4. Now divide LCM = 14 by 7. The result is 2 and we multiply the numerator 3 by 2. We have (3 × 2) = 6.

Now, 1/2 + 3/7

= {1 (7) + 3 (2)}/14

= (7 + 6)/14

= 13/14

To multiply two fractions, we just multiply their respective numerators and denominators :

Here, 1/2 * 3/7

= (1 * 3)/(2 * 7)

= 3/14

Let us solve the problem now :

1/4 × 2/7 - 5/14 × (- 2/3) + 3/7 × 8/2

= 2/28 + 10/42 + 24/14

= 1/14 + 5/21 + 12/7

= (3 + 10 + 72)/42

= 85/42