What is expand 3-3 3/4 ?

The solution to expand 3-3 3/4 is -3/4

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expand 3-3 3/4

expand

3 - 3 \frac{3}{4}

- \frac{3}{4}

Solution steps

3 - 3 \frac{3}{4}

Convert mixed numbers to improper fractions:

3 \frac{3}{4} = \frac{15}{4}

= 3 - \frac{15}{4}

Convert element to fraction:

3 = \frac{3 \cdot 4}{4}

= \frac{3 \cdot 4}{4} - \frac{15}{4}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 \cdot 4 - 15}{4}

3 \cdot 4 - 15 = - 3

= \frac{- 3}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{3}{4}

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