Simplify: $1 \frac{3}{4} - \frac{4}{25}$

$11 \frac{5}{100}$

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$\frac{59}{100}$

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$1 \frac{59}{100}$

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$1 \frac{5}{50}$

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Solution

The correct option is C
$1 \frac{59}{100}$

$1 \frac{3}{4} - \frac{4}{25}$

= $\frac{(4 \times 1) + 3}{4}$ $- \frac{4}{25}$
[Converting mixed fraction into improper fraction]
= $\frac{7}{4}$ $- \frac{4}{25}$

$\frac{7}{4}$ and $\frac{4}{25}$ are unlike fractions. So let us convert them into like fractions.
LCM OF 4, 25 is 100

Taking LCM of denominators,

= $\frac{(7 \times 25) - (4 \times 4)}{100}$

= $\frac{175 - 16}{100}$

= $\frac{159}{100}$

= $1 \frac{59}{100}$

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