Evaluate 9/10+1/3 | Math Help

$\frac{9}{10} + \frac{1}{3}$

To write $\frac{9}{10}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{9}{10} \cdot \frac{3}{3} + \frac{1}{3}$

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{9}{10} \cdot \frac{3}{3} + \frac{1}{3} \cdot \frac{10}{10}$

Write each expression with a common denominator of $30$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{9}{10}$ and $\frac{3}{3}$ .

$\frac{9 \cdot 3}{10 \cdot 3} + \frac{1}{3} \cdot \frac{10}{10}$

Multiply $10$ by $3$ .

$\frac{9 \cdot 3}{30} + \frac{1}{3} \cdot \frac{10}{10}$

Multiply $\frac{1}{3}$ and $\frac{10}{10}$ .

$\frac{9 \cdot 3}{30} + \frac{10}{3 \cdot 10}$

Multiply $3$ by $10$ .

$\frac{9 \cdot 3}{30} + \frac{10}{30}$

Combine the numerators over the common denominator.

$\frac{9 \cdot 3 + 10}{30}$

Simplify the numerator.

Expand detailed answer...

Multiply $9$ by $3$ .

$\frac{27 + 10}{30}$

Add $27$ and $10$ .

$\frac{37}{30}$

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{30}$

Decimal Form:

$1.2\overline{3}$

Mixed Number Form:

$1 \frac{7}{30}$