What is (4-(3/4)^2)/(2(3/4)) ?

The solution to (4-(3/4)^2)/(2(3/4)) is 55/24

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simplify (4-(3/4)^2)/(2(3/4))

simplify

\frac{4 - ( \frac{3}{4} ) ^{2}}{2 ( \frac{3}{4} )}

\frac{55}{24}

Decimal Notation

2.29166 \dots

Solution steps

\frac{4 - ( \frac{3}{4} ) ^{2}}{2 ( \frac{3}{4} )}

Apply rule:

(a) = a

(\frac{3}{4}) = \frac{3}{4}

= \frac{4 - ( \frac{3}{4} ) ^{2}}{2 \cdot \frac{3}{4}}

Simplify

4 - (\frac{3}{4})^{2} : \frac{55}{16}

= \frac{\frac{55}{16}}{2 \cdot \frac{3}{4}}

2 \cdot \frac{3}{4} = \frac{3}{2}

= \frac{\frac{55}{16}}{\frac{3}{2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{55 \cdot 2}{16 \cdot 3}

Cancel

\frac{55 \cdot 2}{16 \cdot 3} : \frac{55}{24}

= \frac{55}{24}

\frac{4 n}{4 n - 4} \cdot \frac{n - 1}{n + 1}

4 \cdot (\frac{1}{2})^{1}

z^{8} z^{5}

36 = 21 x