Basic Math Examples

\frac{7}{40} + \frac{17}{50}

$\frac{7}{40} + \frac{17}{50}$

Step 1

To write

\frac{7}{40}

$\frac{7}{40}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{7}{40} \cdot \frac{5}{5} + \frac{17}{50}

$\frac{7}{40} \cdot \frac{5}{5} + \frac{17}{50}$

Step 2

To write

\frac{17}{50}

$\frac{17}{50}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{7}{40} \cdot \frac{5}{5} + \frac{17}{50} \cdot \frac{4}{4}

$\frac{7}{40} \cdot \frac{5}{5} + \frac{17}{50} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

200

$200$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{7}{40}

$\frac{7}{40}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{7 \cdot 5}{40 \cdot 5} + \frac{17}{50} \cdot \frac{4}{4}

$\frac{7 \cdot 5}{40 \cdot 5} + \frac{17}{50} \cdot \frac{4}{4}$

Step 3.2

Multiply

40

$40$ by

5

$5$ .

\frac{7 \cdot 5}{200} + \frac{17}{50} \cdot \frac{4}{4}

$\frac{7 \cdot 5}{200} + \frac{17}{50} \cdot \frac{4}{4}$

Step 3.3

Multiply

\frac{17}{50}

$\frac{17}{50}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{7 \cdot 5}{200} + \frac{17 \cdot 4}{50 \cdot 4}

$\frac{7 \cdot 5}{200} + \frac{17 \cdot 4}{50 \cdot 4}$

Step 3.4

Multiply

50

$50$ by

4

$4$ .

\frac{7 \cdot 5}{200} + \frac{17 \cdot 4}{200}

$\frac{7 \cdot 5}{200} + \frac{17 \cdot 4}{200}$

\frac{7 \cdot 5}{200} + \frac{17 \cdot 4}{200}

$\frac{7 \cdot 5}{200} + \frac{17 \cdot 4}{200}$

Step 4

Combine the numerators over the common denominator.

\frac{7 \cdot 5 + 17 \cdot 4}{200}

$\frac{7 \cdot 5 + 17 \cdot 4}{200}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

7

$7$ by

5

$5$ .

\frac{35 + 17 \cdot 4}{200}

$\frac{35 + 17 \cdot 4}{200}$

Step 5.2

Multiply

17

$17$ by

4

$4$ .

\frac{35 + 68}{200}

$\frac{35 + 68}{200}$

Step 5.3

Add

35

$35$ and

68

$68$ .

\frac{103}{200}

$\frac{103}{200}$

\frac{103}{200}

$\frac{103}{200}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{103}{200}

$\frac{103}{200}$

Decimal Form:

0.515

$0.515$