Step-by-step explanation:
We have,
[tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex]
To find, the common denominator of [tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex] = ?
∴ [tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex]
= [tex]\dfrac{4\times 7 +6}{7} +\dfrac{7\times 14 +3}{7}[/tex]
[tex]=\dfrac{34}{7} +\dfrac{101}{7}[/tex]
Taking the common as [tex]\dfrac{1}{7}[/tex], we get
=[tex]\dfrac{1}{7}[/tex][tex](34+101)[/tex]
The denominator = 7
∴ The common denominator of [tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex] = 7
Hence, the common denominator of [tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex] = 7
