Question

The common denominator in this problem 4 6/7 +7 3/14=

Answer 1

The common denominator of $4\dfrac{6}{7}+7\dfrac{3}{14}$ = 7

Step-by-step explanation:

We have,

$4\dfrac{6}{7}+7\dfrac{3}{14}$

To find, the common denominator of $4\dfrac{6}{7}+7\dfrac{3}{14}$ = ?

∴ $4\dfrac{6}{7}+7\dfrac{3}{14}$

= $\dfrac{4\times 7 +6}{7} +\dfrac{7\times 14 +3}{7}$

$=\dfrac{34}{7} +\dfrac{101}{7}$

Taking the common as $\dfrac{1}{7}$, we get

=$\dfrac{1}{7}$$(34+101)$

The denominator = 7

∴  The common denominator of $4\dfrac{6}{7}+7\dfrac{3}{14}$ = 7

Hence, the common denominator of $4\dfrac{6}{7}+7\dfrac{3}{14}$ = 7