Write the Fraction in Simplest Form 10/10 3/4

$\frac{10}{10 \frac{3}{4}}$

Step 1

Convert $10 \frac{3}{4}$ to an improper fraction.

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

$\frac{10}{10 + \frac{3}{4}}$

Add $10$ and $\frac{3}{4}$ .

To write $10$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{10}{10 \cdot \frac{4}{4} + \frac{3}{4}}$

Combine $10$ and $\frac{4}{4}$ .

$\frac{10}{\frac{10 \cdot 4}{4} + \frac{3}{4}}$

Combine the numerators over the common denominator.

$\frac{10}{\frac{10 \cdot 4 + 3}{4}}$

Simplify the numerator.

Multiply $10$ by $4$ .

$\frac{10}{\frac{40 + 3}{4}}$

Add $40$ and $3$ .

$\frac{10}{\frac{43}{4}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$10 (\frac{4}{43})$

Step 3

Multiply $10 (\frac{4}{43})$ .

Combine $10$ and $\frac{4}{43}$ .

$\frac{10 \cdot 4}{43}$

Multiply $10$ by $4$ .

$\frac{40}{43}$