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Fractions and Decimals — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSFractions and Decimals2 Marks
Question
Find
$6 \div 5 \frac{1}{3}$
✓

Answer

We have,
$
\begin{aligned}
6 \div 5 \frac{1}{3} & =6 \div\left(\frac{5 \times 3+1}{3}\right) \\
& =\left(6 \div \frac{15+1}{3}\right)=6 \div \frac{16}{3} \\
& =6 \times \frac{3}{16} \quad\left[\because \text { reciprocal of } \frac{16}{3} \text { is } \frac{3}{16}\right] \\
& =\frac{6 \times 3}{16}=\frac{18}{16}=\frac{9}{8}=1 \frac{1}{8}
\end{aligned}
$
[dividing numerator and denominator by 2 ]

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