Basic Math Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

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Step 1.2.1

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

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

Step 1.2.2

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $4$ by $4$ .

$7 \div \frac{16 + 3}{4} \div 1$

Step 1.2.4.2

Add $16$ and $3$ .

$7 \div \frac{19}{4} \div 1$

Step 2

Rewrite the division as a fraction.

$\frac{7 \div \frac{19}{4}}{1}$

Step 3

Divide $7 \div \frac{19}{4}$ by $1$ .

$7 \div \frac{19}{4}$

Step 4

To divide by a fraction, multiply by its reciprocal.

$7 (\frac{4}{19})$

Step 5

Multiply $7 (\frac{4}{19})$ .

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Step 5.1

Combine $7$ and $\frac{4}{19}$ .

$\frac{7 \cdot 4}{19}$

Step 5.2

Multiply $7$ by $4$ .

$\frac{28}{19}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{28}{19}$

Decimal Form:

$1.47368421 \dots$

Mixed Number Form:

$1 \frac{9}{19}$