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Fractions and Decimals — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSFractions and Decimals1 Mark
Question
$9\frac14-\frac54=$ ______________.
✓

Answer

We have, $9\frac{1}{4}-\frac{5}{4}=\frac{9\times4+1}{4}-\frac{5}{4}$
$\Big[\because$ Mixed fraction = Improper fraction $=\frac{\text{(Whole number} \times\text{Denominator)}+\text{Numerator}}{\text{Denominator}}\Big]$
$=\frac{37}{4}-\frac54$
$=\frac{37-5}{4}=\frac{32}{4}$
$=\frac{32\div4}{4\div4}[\because$ $HCF$ of $32$ and denominator $4$ is 4$]$
$=8$

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