Find the Exact Value 3/5-7/4+1/2

$\frac{3}{5} - \frac{7}{4} + \frac{1}{2}$

Step 1

Find the common denominator.

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

$\frac{3}{5} \cdot \frac{4}{4} - \frac{7}{4} + \frac{1}{2}$

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

$\frac{3 \cdot 4}{5 \cdot 4} - \frac{7}{4} + \frac{1}{2}$

Multiply $\frac{7}{4}$ by $\frac{5}{5}$ .

$\frac{3 \cdot 4}{5 \cdot 4} - (\frac{7}{4} \cdot \frac{5}{5}) + \frac{1}{2}$

Multiply $\frac{7}{4}$ by $\frac{5}{5}$ .

$\frac{3 \cdot 4}{5 \cdot 4} - \frac{7 \cdot 5}{4 \cdot 5} + \frac{1}{2}$

Multiply $\frac{1}{2}$ by $\frac{10}{10}$ .

$\frac{3 \cdot 4}{5 \cdot 4} - \frac{7 \cdot 5}{4 \cdot 5} + \frac{1}{2} \cdot \frac{10}{10}$

Multiply $\frac{1}{2}$ by $\frac{10}{10}$ .

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

Reorder the factors of $5 \cdot 4$ .

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

Multiply $4$ by $5$ .

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

Multiply $4$ by $5$ .

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

Multiply $2$ by $10$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

Multiply $3$ by $4$ .

$\frac{12 - 7 \cdot 5 + 10}{20}$

Multiply $- 7$ by $5$ .

$\frac{12 - 35 + 10}{20}$

Step 4

Simplify the expression.

Subtract $35$ from $12$ .

$\frac{- 23 + 10}{20}$

Add $- 23$ and $10$ .

$\frac{- 13}{20}$

Move the negative in front of the fraction.

$- \frac{13}{20}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{13}{20}$

Decimal Form:

$- 0.65$

Find the Exact Value 3/5-7/4+1/2

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