1.

If 6 × (5/7) + (2/3) – 4 = x, then find the value of x.1. 20/212. 21/203. 40/214. 20/7

Answer» Correct Answer - Option 1 : 20/21

Given:

6 × (5/7) + (2/3) – 4 = x

Concept:

Least Common Multiple (LCM) = The L.C.M. of two or more numbers is the least number which is exactly divisible by each of them.
Calculation:

6 × (5/7) + (2/3) – 4

⇒ (30/7) + (2/3) - 4

L.C.M. of (7, 3) = 21

⇒ [(21 ÷ 7) × 30 + (21 ÷ 3) × 2 – 4 × 21]/21

⇒ [3 × 30 + 7 × 2 – 84]/21

⇒ [90 + 14 – 84]/21

⇒ 20/21

∴ The value of x is 20/21.



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