Question
Fill in the blanks:
$6\frac{1}{6}-5\frac{1}{5}=\ ....$
$6\frac{1}{6}-5\frac{1}{5}=\ ....$
✓
Answer
$6\frac{1}{6}-5\frac{1}{5}=\frac{29}{30}$Solution:
Given, $6\frac{1}{6}-5\frac{1}{5}=\ ....$ Let the value in the blank be x. $6\frac{1}{6}-5\frac{1}{5}=\text{x}$ $\Rightarrow\text{x}=\frac{6\times6+1}{6}-\frac{5\times5+1}{5}$ $\Rightarrow\text{x}=\frac{37}{6}-\frac{26}{5}$ $\Rightarrow\text{x}=\frac{37\times5}{6\times5}-\frac{26\times6}{5\times6}$ (because LCM of 6 and 5 is 30) $\Rightarrow\text{x}=\frac{185}{30}-\frac{156}{30}$ $\Rightarrow\text{x}=\frac{185-156}{30}$ $\text{x}=\frac{29}{30}$
Given, $6\frac{1}{6}-5\frac{1}{5}=\ ....$ Let the value in the blank be x. $6\frac{1}{6}-5\frac{1}{5}=\text{x}$ $\Rightarrow\text{x}=\frac{6\times6+1}{6}-\frac{5\times5+1}{5}$ $\Rightarrow\text{x}=\frac{37}{6}-\frac{26}{5}$ $\Rightarrow\text{x}=\frac{37\times5}{6\times5}-\frac{26\times6}{5\times6}$ (because LCM of 6 and 5 is 30) $\Rightarrow\text{x}=\frac{185}{30}-\frac{156}{30}$ $\Rightarrow\text{x}=\frac{185-156}{30}$ $\text{x}=\frac{29}{30}$
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