Evaluate -3/4+7/20+3/10

$- \frac{3}{4} + \frac{7}{20} + \frac{3}{10}$

Step 1

Find the common denominator.

Multiply $\frac{3}{4}$ by $\frac{5}{5}$ .

$- (\frac{3}{4} \cdot \frac{5}{5}) + \frac{7}{20} + \frac{3}{10}$

Multiply $\frac{3}{4}$ by $\frac{5}{5}$ .

$- \frac{3 \cdot 5}{4 \cdot 5} + \frac{7}{20} + \frac{3}{10}$

Multiply $\frac{3}{10}$ by $\frac{2}{2}$ .

$- \frac{3 \cdot 5}{4 \cdot 5} + \frac{7}{20} + \frac{3}{10} \cdot \frac{2}{2}$

Multiply $\frac{3}{10}$ by $\frac{2}{2}$ .

$- \frac{3 \cdot 5}{4 \cdot 5} + \frac{7}{20} + \frac{3 \cdot 2}{10 \cdot 2}$

Multiply $4$ by $5$ .

$- \frac{3 \cdot 5}{20} + \frac{7}{20} + \frac{3 \cdot 2}{10 \cdot 2}$

Reorder the factors of $10 \cdot 2$ .

$- \frac{3 \cdot 5}{20} + \frac{7}{20} + \frac{3 \cdot 2}{2 \cdot 10}$

Multiply $2$ by $10$ .

$- \frac{3 \cdot 5}{20} + \frac{7}{20} + \frac{3 \cdot 2}{20}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 5 + 7 + 3 \cdot 2}{20}$

Step 3

Simplify each term.

Multiply $- 3$ by $5$ .

$\frac{- 15 + 7 + 3 \cdot 2}{20}$

Multiply $3$ by $2$ .

$\frac{- 15 + 7 + 6}{20}$

Step 4

Reduce the expression by cancelling the common factors.

Add $- 15$ and $7$ .

$\frac{- 8 + 6}{20}$

Add $- 8$ and $6$ .

$\frac{- 2}{20}$

Cancel the common factor of $- 2$ and $20$ .

Factor $2$ out of $- 2$ .

$\frac{2 (- 1)}{20}$

Cancel the common factors.

Factor $2$ out of $20$ .

$\frac{2 \cdot - 1}{2 \cdot 10}$

Cancel the common factor.

$\frac{2 \cdot - 1}{2 \cdot 10}$

Rewrite the expression.

$\frac{- 1}{10}$

Move the negative in front of the fraction.

$- \frac{1}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{10}$

Decimal Form:

$- 0.1$

Evaluate -3/4+7/20+3/10

Related Questions

Support LCMGCF.com by disabling your adblocker.