Pre-Algebra Examples

$\frac{7}{10} + \frac{6}{100}$

Step 1

Cancel the common factor of $6$ and $100$ .

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Step 1.1

Factor $2$ out of $6$ .

$\frac{7}{10} + \frac{2 (3)}{100}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $100$ .

$\frac{7}{10} + \frac{2 \cdot 3}{2 \cdot 50}$

Step 1.2.2

Cancel the common factor.

$\frac{7}{10} + \frac{2 \cdot 3}{2 \cdot 50}$

Step 1.2.3

Rewrite the expression.

$\frac{7}{10} + \frac{3}{50}$

Step 2

To write $\frac{7}{10}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{7}{10} \cdot \frac{5}{5} + \frac{3}{50}$

Step 3

Write each expression with a common denominator of $50$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{7}{10}$ by $\frac{5}{5}$ .

$\frac{7 \cdot 5}{10 \cdot 5} + \frac{3}{50}$

Step 3.2

Multiply $10$ by $5$ .

$\frac{7 \cdot 5}{50} + \frac{3}{50}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 5 + 3}{50}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $7$ by $5$ .

$\frac{35 + 3}{50}$

Step 5.2

Add $35$ and $3$ .

$\frac{38}{50}$

Step 6

Cancel the common factor of $38$ and $50$ .

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Step 6.1

Factor $2$ out of $38$ .

$\frac{2 (19)}{50}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $50$ .

$\frac{2 \cdot 19}{2 \cdot 25}$

Step 6.2.2

Cancel the common factor.

$\frac{2 \cdot 19}{2 \cdot 25}$

Step 6.2.3

Rewrite the expression.

$\frac{19}{25}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{25}$

Decimal Form:

$0.76$