What is (64*sqrt(2)*(1/4)^2)/(2 3/2) ?

The solution to (64*sqrt(2)*(1/4)^2)/(2 3/2) is (8sqrt(2))/7

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simplify (64sqrt(2)(1/4)^2)/(2 3/2)

simplify

\frac{64 \cdot 2 \cdot ( \frac{1}{4} ) ^{2}}{2 \frac{3}{2}}

\frac{8 2}{7}

Decimal Notation

1.61624 \dots

Solution steps

\frac{64 \cdot 2 \cdot ( \frac{1}{4} ) ^{2}}{2 \frac{3}{2}}

Convert mixed numbers to improper fractions:

2 \frac{3}{2} = \frac{7}{2}

= \frac{64 \cdot 2 \cdot ( \frac{1}{4} ) ^{2}}{\frac{7}{2}}

Apply the fraction rule:

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

= \frac{64 2 ( \frac{1}{4} ) ^{2} \cdot 2}{7}

Simplify

642 (\frac{1}{4})^{2} \cdot 2 : 82

= \frac{8 2}{7}

\frac{csc ( x ) sin ( x )}{cot ( x )}

\frac{3}{32} - (- \frac{1}{48})

[\frac{2 x ^{- 2} y ^{2} \cdot ( - x ^{2} )}{( 2 y ^{4} ) ^{4}}]^{4}

\frac{( 5 ^{2} ) ^{3}}{( 5 ^{3} ) ^{7}}

4 x^{2} + 2 x^{2}

What is (64*sqrt(2)*(1/4)^2)/(2 3/2) ?
The solution to (64*sqrt(2)*(1/4)^2)/(2 3/2) is (8sqrt(2))/7