Convert to a Simplified Fraction 1.5625

$1.5625$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $4$ numbers to the right of the decimal point, place the decimal number over $10^{4}$ $(10000)$ . Next, add the whole number to the left of the decimal.

$1 \frac{5625}{10000}$

Step 2

Reduce the fractional part of the mixed number.

$1 \frac{9}{16}$

Step 3

Convert $1 \frac{9}{16}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$1 + \frac{9}{16}$

Add $1$ and $\frac{9}{16}$ .

Write $1$ as a fraction with a common denominator.

$\frac{16}{16} + \frac{9}{16}$

Combine the numerators over the common denominator.

$\frac{16 + 9}{16}$

Add $16$ and $9$ .

$\frac{25}{16}$

Convert to a Simplified Fraction 1.5625

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