Basic Math Examples

16 \frac{7}{10} + 9 \frac{7}{8}

$16 \frac{7}{10} + 9 \frac{7}{8}$

Step 1

Convert

16 \frac{7}{10}

$16 \frac{7}{10}$ to an improper fraction.

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Step 1.1

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

16 + \frac{7}{10} + 9 \frac{7}{8}

$16 + \frac{7}{10} + 9 \frac{7}{8}$

Step 1.2

Add

16

$16$ and

\frac{7}{10}

$\frac{7}{10}$ .

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Step 1.2.1

To write

16

$16$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

16 \cdot \frac{10}{10} + \frac{7}{10} + 9 \frac{7}{8}

$16 \cdot \frac{10}{10} + \frac{7}{10} + 9 \frac{7}{8}$

Step 1.2.2

Combine

16

$16$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{16 \cdot 10}{10} + \frac{7}{10} + 9 \frac{7}{8}

$\frac{16 \cdot 10}{10} + \frac{7}{10} + 9 \frac{7}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{16 \cdot 10 + 7}{10} + 9 \frac{7}{8}

$\frac{16 \cdot 10 + 7}{10} + 9 \frac{7}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

16

$16$ by

10

$10$ .

\frac{160 + 7}{10} + 9 \frac{7}{8}

$\frac{160 + 7}{10} + 9 \frac{7}{8}$

Step 1.2.4.2

Add

160

$160$ and

7

$7$ .

\frac{167}{10} + 9 \frac{7}{8}

$\frac{167}{10} + 9 \frac{7}{8}$

\frac{167}{10} + 9 \frac{7}{8}

$\frac{167}{10} + 9 \frac{7}{8}$

\frac{167}{10} + 9 \frac{7}{8}

$\frac{167}{10} + 9 \frac{7}{8}$

\frac{167}{10} + 9 \frac{7}{8}

$\frac{167}{10} + 9 \frac{7}{8}$

Step 2

Convert

9 \frac{7}{8}

$9 \frac{7}{8}$ to an improper fraction.

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Step 2.1

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

\frac{167}{10} + 9 + \frac{7}{8}

$\frac{167}{10} + 9 + \frac{7}{8}$

Step 2.2

Add

9

$9$ and

\frac{7}{8}

$\frac{7}{8}$ .

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Step 2.2.1

To write

9

$9$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{167}{10} + 9 \cdot \frac{8}{8} + \frac{7}{8}

$\frac{167}{10} + 9 \cdot \frac{8}{8} + \frac{7}{8}$

Step 2.2.2

Combine

9

$9$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{167}{10} + \frac{9 \cdot 8}{8} + \frac{7}{8}

$\frac{167}{10} + \frac{9 \cdot 8}{8} + \frac{7}{8}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{167}{10} + \frac{9 \cdot 8 + 7}{8}

$\frac{167}{10} + \frac{9 \cdot 8 + 7}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

9

$9$ by

8

$8$ .

\frac{167}{10} + \frac{72 + 7}{8}

$\frac{167}{10} + \frac{72 + 7}{8}$

Step 2.2.4.2

Add

72

$72$ and

7

$7$ .

\frac{167}{10} + \frac{79}{8}

$\frac{167}{10} + \frac{79}{8}$

\frac{167}{10} + \frac{79}{8}

$\frac{167}{10} + \frac{79}{8}$

\frac{167}{10} + \frac{79}{8}

$\frac{167}{10} + \frac{79}{8}$

\frac{167}{10} + \frac{79}{8}

$\frac{167}{10} + \frac{79}{8}$

Step 3

To write

\frac{167}{10}

$\frac{167}{10}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{167}{10} \cdot \frac{4}{4} + \frac{79}{8}

$\frac{167}{10} \cdot \frac{4}{4} + \frac{79}{8}$

Step 4

To write

\frac{79}{8}

$\frac{79}{8}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{167}{10} \cdot \frac{4}{4} + \frac{79}{8} \cdot \frac{5}{5}

$\frac{167}{10} \cdot \frac{4}{4} + \frac{79}{8} \cdot \frac{5}{5}$

Step 5

Write each expression with a common denominator of

40

$40$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 5.1

Multiply

\frac{167}{10}

$\frac{167}{10}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{167 \cdot 4}{10 \cdot 4} + \frac{79}{8} \cdot \frac{5}{5}

$\frac{167 \cdot 4}{10 \cdot 4} + \frac{79}{8} \cdot \frac{5}{5}$

Step 5.2

Multiply

$10$ by

$4$ .

$\frac{167 \cdot 4}{40} + \frac{79}{8} \cdot \frac{5}{5}$

Step 5.3

Multiply

$\frac{79}{8}$ by

$\frac{5}{5}$ .

$\frac{167 \cdot 4}{40} + \frac{79 \cdot 5}{8 \cdot 5}$

Step 5.4

Multiply

$8$ by

$5$ .

$\frac{167 \cdot 4}{40} + \frac{79 \cdot 5}{40}$

Step 6

Combine the numerators over the common denominator.

$\frac{167 \cdot 4 + 79 \cdot 5}{40}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply

$167$ by

$4$ .

$\frac{668 + 79 \cdot 5}{40}$

Step 7.2

Multiply

$79$ by

$5$ .

$\frac{668 + 395}{40}$

Step 7.3

Add

$668$ and

$395$ .

$\frac{1063}{40}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1063}{40}$

Decimal Form:

$26.575$

Mixed Number Form:

$26 \frac{23}{40}$