Basic Math Examples

\frac{90}{7} \div 1 \frac{3}{4}

$\frac{90}{7} \div 1 \frac{3}{4}$

Step 1

Convert

1 \frac{3}{4}

$1 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

\frac{90}{7} \div (1 + \frac{3}{4})

$\frac{90}{7} \div (1 + \frac{3}{4})$

Step 1.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

Tap for more steps...

Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{90}{7} \div (\frac{4}{4} + \frac{3}{4})

$\frac{90}{7} \div (\frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{90}{7} \div \frac{4 + 3}{4}

$\frac{90}{7} \div \frac{4 + 3}{4}$

Step 1.2.3

Add

4

$4$ and

3

$3$ .

\frac{90}{7} \div \frac{7}{4}

$\frac{90}{7} \div \frac{7}{4}$

\frac{90}{7} \div \frac{7}{4}

$\frac{90}{7} \div \frac{7}{4}$

\frac{90}{7} \div \frac{7}{4}

$\frac{90}{7} \div \frac{7}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{90}{7} \cdot \frac{4}{7}

$\frac{90}{7} \cdot \frac{4}{7}$

Step 3

Multiply

\frac{90}{7} \cdot \frac{4}{7}

$\frac{90}{7} \cdot \frac{4}{7}$ .

Tap for more steps...

Step 3.1

Multiply

\frac{90}{7}

$\frac{90}{7}$ by

\frac{4}{7}

$\frac{4}{7}$ .

\frac{90 \cdot 4}{7 \cdot 7}

$\frac{90 \cdot 4}{7 \cdot 7}$

Step 3.2

Multiply

90

$90$ by

4

$4$ .

\frac{360}{7 \cdot 7}

$\frac{360}{7 \cdot 7}$

Step 3.3

Multiply

7

$7$ by

7

$7$ .

\frac{360}{49}

$\frac{360}{49}$

\frac{360}{49}

$\frac{360}{49}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{360}{49}

$\frac{360}{49}$

Decimal Form:

7.34693877 \dots

$7.34693877 \dots$

Mixed Number Form:

7 \frac{17}{49}

$7 \frac{17}{49}$