Basic Math Examples

2 \frac{3}{4} - \frac{7}{8}

$2 \frac{3}{4} - \frac{7}{8}$

Step 1

Convert

2 \frac{3}{4}

$2 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

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

$2 + \frac{3}{4} - \frac{7}{8}$

Step 1.2

Add

2

$2$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

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

$2 \cdot \frac{4}{4} + \frac{3}{4} - \frac{7}{8}$

Step 1.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{2 \cdot 4}{4} + \frac{3}{4} - \frac{7}{8}

$\frac{2 \cdot 4}{4} + \frac{3}{4} - \frac{7}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 4 + 3}{4} - \frac{7}{8}

$\frac{2 \cdot 4 + 3}{4} - \frac{7}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

4

$4$ .

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

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

Step 1.2.4.2

Add

8

$8$ and

3

$3$ .

\frac{11}{4} - \frac{7}{8}

$\frac{11}{4} - \frac{7}{8}$

\frac{11}{4} - \frac{7}{8}

$\frac{11}{4} - \frac{7}{8}$

\frac{11}{4} - \frac{7}{8}

$\frac{11}{4} - \frac{7}{8}$

\frac{11}{4} - \frac{7}{8}

$\frac{11}{4} - \frac{7}{8}$

Step 2

To write

\frac{11}{4}

$\frac{11}{4}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{11}{4} \cdot \frac{2}{2} - \frac{7}{8}

$\frac{11}{4} \cdot \frac{2}{2} - \frac{7}{8}$

Step 3

Write each expression with a common denominator of

8

$8$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{11}{4}

$\frac{11}{4}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{11 \cdot 2}{4 \cdot 2} - \frac{7}{8}

$\frac{11 \cdot 2}{4 \cdot 2} - \frac{7}{8}$

Step 3.2

Multiply

4

$4$ by

2

$2$ .

\frac{11 \cdot 2}{8} - \frac{7}{8}

$\frac{11 \cdot 2}{8} - \frac{7}{8}$

\frac{11 \cdot 2}{8} - \frac{7}{8}

$\frac{11 \cdot 2}{8} - \frac{7}{8}$

Step 4

Combine the numerators over the common denominator.

\frac{11 \cdot 2 - 7}{8}

$\frac{11 \cdot 2 - 7}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

11

$11$ by

2

$2$ .

\frac{22 - 7}{8}

$\frac{22 - 7}{8}$

Step 5.2

Subtract

7

$7$ from

22

$22$ .

\frac{15}{8}

$\frac{15}{8}$

\frac{15}{8}

$\frac{15}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{15}{8}

$\frac{15}{8}$

Decimal Form:

1.875

$1.875$

Mixed Number Form:

1 \frac{7}{8}

$1 \frac{7}{8}$