Convert to a Simplified Fraction 4.6

$4.6$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is $1$ number to the right of the decimal point, place the decimal number over $10^{1}$ $(10)$ . Next, add the whole number to the left of the decimal.

$4 \frac{6}{10}$

Step 2

Reduce the fractional part of the mixed number.

$4 \frac{3}{5}$

Step 3

Convert $4 \frac{3}{5}$ to an improper fraction.

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

$4 + \frac{3}{5}$

Add $4$ and $\frac{3}{5}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$4 \cdot \frac{5}{5} + \frac{3}{5}$

Combine $4$ and $\frac{5}{5}$ .

$\frac{4 \cdot 5}{5} + \frac{3}{5}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 5 + 3}{5}$

Simplify the numerator.

Multiply $4$ by $5$ .

$\frac{20 + 3}{5}$

Add $20$ and $3$ .

$\frac{23}{5}$

Convert to a Simplified Fraction 4.6

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