Question
Find the difference of:
$3\frac{3}{10}\text{ and }2\frac{7}{15}$
$3\frac{3}{10}\text{ and }2\frac{7}{15}$
✓
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 × 3 × 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
$=\frac{99-74}{30}$
$=\frac{25}{30}$
$=\frac{5}{6}$
$3\frac{3}{10}\text{ and }2\frac{7}{15}$
$=\frac{33}{10}\text{ and }\frac{37}{15}$
taking out the LCM of 10 and 15, we get
2 × 3 × 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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