Basic Math Examples

2 \frac{1}{7} \div 4 \frac{3}{8}

$2 \frac{1}{7} \div 4 \frac{3}{8}$

Step 1

Convert

$2 \frac{1}{7}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$(2 + \frac{1}{7}) \div 4 \frac{3}{8}$

Step 1.2

Add

$2$ and

$\frac{1}{7}$ .

Tap for more steps...

Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{7}{7}$ .

$(2 \cdot \frac{7}{7} + \frac{1}{7}) \div 4 \frac{3}{8}$

Step 1.2.2

Combine

$2$ and

$\frac{7}{7}$ .

$(\frac{2 \cdot 7}{7} + \frac{1}{7}) \div 4 \frac{3}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 7 + 1}{7} \div 4 \frac{3}{8}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$2$ by

$7$ .

$\frac{14 + 1}{7} \div 4 \frac{3}{8}$

Step 1.2.4.2

Add

$14$ and

$1$ .

$\frac{15}{7} \div 4 \frac{3}{8}$

Step 2

Convert

$4 \frac{3}{8}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{15}{7} \div (4 + \frac{3}{8})$

Step 2.2

Add

$4$ and

$\frac{3}{8}$ .

Tap for more steps...

Step 2.2.1

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$\frac{15}{7} \div (4 \cdot \frac{8}{8} + \frac{3}{8})$

Step 2.2.2

Combine

$4$ and

$\frac{8}{8}$ .

$\frac{15}{7} \div (\frac{4 \cdot 8}{8} + \frac{3}{8})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{15}{7} \div \frac{4 \cdot 8 + 3}{8}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

$4$ by

$8$ .

$\frac{15}{7} \div \frac{32 + 3}{8}$

Step 2.2.4.2

Add

$32$ and

$3$ .

$\frac{15}{7} \div \frac{35}{8}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{15}{7} \cdot \frac{8}{35}$

Step 4

Cancel the common factor of

$5$ .

Tap for more steps...

Step 4.1

Factor

$5$ out of

$15$ .

$\frac{5 (3)}{7} \cdot \frac{8}{35}$

Step 4.2

Factor

$5$ out of

$35$ .

$\frac{5 \cdot 3}{7} \cdot \frac{8}{5 \cdot 7}$

Step 4.3

Cancel the common factor.

$\frac{5 \cdot 3}{7} \cdot \frac{8}{5 \cdot 7}$

Step 4.4

Rewrite the expression.

$\frac{3}{7} \cdot \frac{8}{7}$

Step 5

Multiply

$\frac{3}{7}$ by

$\frac{8}{7}$ .

$\frac{3 \cdot 8}{7 \cdot 7}$

Step 6

Multiply.

Tap for more steps...

Step 6.1

Multiply

$3$ by

$8$ .

$\frac{24}{7 \cdot 7}$

Step 6.2

Multiply

$7$ by

$7$ .

$\frac{24}{49}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{24}{49}$

Decimal Form:

$0.48979591 \dots$