Basic Math Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $1$ and $\frac{3}{4}$ .

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Step 1.2.1

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $4$ and $3$ .

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

Step 2

To divide by a fraction, multiply by its reciprocal.

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

Step 3

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

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Step 3.1

Multiply $\frac{90}{7}$ by $\frac{4}{7}$ .

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

Step 3.2

Multiply $90$ by $4$ .

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

Step 3.3

Multiply $7$ by $7$ .

$\frac{360}{49}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{360}{49}$

Decimal Form:

$7.34693877 \dots$

Mixed Number Form:

$7 \frac{17}{49}$