Write the Fraction in Simplest Form 3 3/4÷1 1/8

$3 \frac{3}{4} \div 1 \frac{1}{8}$

Step 1

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

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

$(3 + \frac{3}{4}) \div 1 \frac{1}{8}$

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

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(3 \cdot \frac{4}{4} + \frac{3}{4}) \div 1 \frac{1}{8}$

Combine $3$ and $\frac{4}{4}$ .

$(\frac{3 \cdot 4}{4} + \frac{3}{4}) \div 1 \frac{1}{8}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 + 3}{4} \div 1 \frac{1}{8}$

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{12 + 3}{4} \div 1 \frac{1}{8}$

Add $12$ and $3$ .

$\frac{15}{4} \div 1 \frac{1}{8}$

Step 2

Convert $1 \frac{1}{8}$ to an improper fraction.

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

$\frac{15}{4} \div (1 + \frac{1}{8})$

Add $1$ and $\frac{1}{8}$ .

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

$\frac{15}{4} \div (\frac{8}{8} + \frac{1}{8})$

Combine the numerators over the common denominator.

$\frac{15}{4} \div \frac{8 + 1}{8}$

Add $8$ and $1$ .

$\frac{15}{4} \div \frac{9}{8}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{15}{4} \cdot \frac{8}{9}$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $15$ .

$\frac{3 (5)}{4} \cdot \frac{8}{9}$

Factor $3$ out of $9$ .

$\frac{3 \cdot 5}{4} \cdot \frac{8}{3 \cdot 3}$

Cancel the common factor.

$\frac{3 \cdot 5}{4} \cdot \frac{8}{3 \cdot 3}$

Rewrite the expression.

$\frac{5}{4} \cdot \frac{8}{3}$

Step 5

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$\frac{5}{4} \cdot \frac{4 (2)}{3}$

Cancel the common factor.

$\frac{5}{4} \cdot \frac{4 \cdot 2}{3}$

Rewrite the expression.

$5 (\frac{2}{3})$

Step 6

Combine $5$ and $\frac{2}{3}$ .

$\frac{5 \cdot 2}{3}$

Step 7

Multiply $5$ by $2$ .

$\frac{10}{3}$

Write the Fraction in Simplest Form 3 3/4÷1 1/8

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