Question
Find the difference of: $3\frac{3}{10}\text{ and }2\frac{7}{15}$
✓
Answer
We have, $3\frac{3}{10}\text{ and }2\frac{7}{15}$
$=\frac{33}{10}\text{ and }\frac{37}{15}$ taking out the $LCM$ of $10$ and $15$,
we get $2 \times 3 \times 5 = 30$
Now, we convert the given fractions tp equivalent fractions by making the denominators
$30$ $=\frac{33\times3}{10\times3}\text{ and }\frac{37\times2}{15\times2}$
$=\frac{99}{30}\text{ and }\frac{74}{30}$
The difference between both the fractions are $=\frac{99-74}{30}$
$=\frac{25}{30}$
$=\frac{5}{6}$
$=\frac{33}{10}\text{ and }\frac{37}{15}$ taking out the $LCM$ of $10$ and $15$,
we get $2 \times 3 \times 5 = 30$
Now, we convert the given fractions tp equivalent fractions by making the denominators
$30$ $=\frac{33\times3}{10\times3}\text{ and }\frac{37\times2}{15\times2}$
$=\frac{99}{30}\text{ and }\frac{74}{30}$
The difference between both the fractions are $=\frac{99-74}{30}$
$=\frac{25}{30}$
$=\frac{5}{6}$
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