Basic Math Examples

\frac{4}{7} - (- \frac{3}{8})

$\frac{4}{7} - (- \frac{3}{8})$

Step 1

Multiply

- (- \frac{3}{8})

$- (- \frac{3}{8})$ .

Tap for more steps...

Step 1.1

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

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

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

Step 1.2

Multiply

\frac{3}{8}

$\frac{3}{8}$ by

1

$1$ .

\frac{4}{7} + \frac{3}{8}

$\frac{4}{7} + \frac{3}{8}$

\frac{4}{7} + \frac{3}{8}

$\frac{4}{7} + \frac{3}{8}$

Step 2

To write

\frac{4}{7}

$\frac{4}{7}$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{4}{7} \cdot \frac{8}{8} + \frac{3}{8}

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

Step 3

To write

\frac{3}{8}

$\frac{3}{8}$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

\frac{4}{7} \cdot \frac{8}{8} + \frac{3}{8} \cdot \frac{7}{7}

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

Step 4

Write each expression with a common denominator of

56

$56$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 4.1

Multiply

\frac{4}{7}

$\frac{4}{7}$ by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{4 \cdot 8}{7 \cdot 8} + \frac{3}{8} \cdot \frac{7}{7}

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

Step 4.2

Multiply

7

$7$ by

8

$8$ .

\frac{4 \cdot 8}{56} + \frac{3}{8} \cdot \frac{7}{7}

$\frac{4 \cdot 8}{56} + \frac{3}{8} \cdot \frac{7}{7}$

Step 4.3

Multiply

\frac{3}{8}

$\frac{3}{8}$ by

\frac{7}{7}

$\frac{7}{7}$ .

\frac{4 \cdot 8}{56} + \frac{3 \cdot 7}{8 \cdot 7}

$\frac{4 \cdot 8}{56} + \frac{3 \cdot 7}{8 \cdot 7}$

Step 4.4

Multiply

8

$8$ by

7

$7$ .

\frac{4 \cdot 8}{56} + \frac{3 \cdot 7}{56}

$\frac{4 \cdot 8}{56} + \frac{3 \cdot 7}{56}$

\frac{4 \cdot 8}{56} + \frac{3 \cdot 7}{56}

$\frac{4 \cdot 8}{56} + \frac{3 \cdot 7}{56}$

Step 5

Combine the numerators over the common denominator.

\frac{4 \cdot 8 + 3 \cdot 7}{56}

$\frac{4 \cdot 8 + 3 \cdot 7}{56}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply

4

$4$ by

8

$8$ .

\frac{32 + 3 \cdot 7}{56}

$\frac{32 + 3 \cdot 7}{56}$

Step 6.2

Multiply

3

$3$ by

7

$7$ .

\frac{32 + 21}{56}

$\frac{32 + 21}{56}$

Step 6.3

Add

32

$32$ and

21

$21$ .

\frac{53}{56}

$\frac{53}{56}$

\frac{53}{56}

$\frac{53}{56}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{53}{56}

$\frac{53}{56}$

Decimal Form:

0.94642857 \dots

$0.94642857 \dots$