Basic Math Examples

$2 + 1.5 (4 \frac{1}{8} + 1)$

Step 1

Convert $4 \frac{1}{8}$ to an improper fraction.

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Step 1.1

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

$2 + 1.5 (4 + \frac{1}{8} + 1)$

Step 1.2

Add $4$ and $\frac{1}{8}$ .

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Step 1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$2 + 1.5 (4 \cdot \frac{8}{8} + \frac{1}{8} + 1)$

Step 1.2.2

Combine $4$ and $\frac{8}{8}$ .

$2 + 1.5 (\frac{4 \cdot 8}{8} + \frac{1}{8} + 1)$

Step 1.2.3

Combine the numerators over the common denominator.

$2 + 1.5 (\frac{4 \cdot 8 + 1}{8} + 1)$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $4$ by $8$ .

$2 + 1.5 (\frac{32 + 1}{8} + 1)$

Step 1.2.4.2

Add $32$ and $1$ .

$2 + 1.5 (\frac{33}{8} + 1)$

Step 2

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

$2 + 1.5 (\frac{33}{8} + \frac{8}{8})$

Step 3

Combine the numerators over the common denominator.

$2 + 1.5 \frac{33 + 8}{8}$

Step 4

Add $33$ and $8$ .

$2 + 1.5 (\frac{41}{8})$

Step 5

Multiply $1.5 (\frac{41}{8})$ .

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Step 5.1

Combine $1.5$ and $\frac{41}{8}$ .

$2 + \frac{1.5 \cdot 41}{8}$

Step 5.2

Multiply $1.5$ by $41$ .

$2 + \frac{61.5}{8}$

Step 6

Divide $61.5$ by $8$ .

$2 + 7.6875$

Step 7

Add $2$ and $7.6875$ .

$9.6875$