What is (5 1/4*(4/3)^2)/((7/3)^2+2 1/7) ?

The solution to (5 1/4*(4/3)^2)/((7/3)^2+2 1/7) is 1 55/239

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simplify (5 1/4*(4/3)^2)/((7/3)^2+2 1/7)

simplify

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

1 \frac{55}{239}

Solution steps

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

Convert mixed numbers to improper fractions:

5 \frac{1}{4} = \frac{21}{4}

= \frac{\frac{21}{4} \cdot ( \frac{4}{3} ) ^{2}}{( \frac{7}{3} ) ^{2} + 2 \frac{1}{7}}

Convert mixed numbers to improper fractions:

2 \frac{1}{7} = \frac{15}{7}

= \frac{\frac{21}{4} \cdot ( \frac{4}{3} ) ^{2}}{( \frac{7}{3} ) ^{2} + \frac{15}{7}}

\frac{21}{4} (\frac{4}{3})^{2} = \frac{28}{3}

= \frac{\frac{28}{3}}{( \frac{7}{3} ) ^{2} + \frac{15}{7}}

(\frac{7}{3})^{2} + \frac{15}{7} = \frac{478}{63}

= \frac{\frac{28}{3}}{\frac{478}{63}}

Apply the fraction rule:

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

= \frac{28 \cdot 63}{3 \cdot 478}

Cancel

\frac{28 \cdot 63}{3 \cdot 478} : \frac{294}{239}

= \frac{294}{239}

Convert improper fractions to mixed numbers:

\frac{294}{239} = 1 \frac{55}{239}

= 1 \frac{55}{239}

3 x^{2} 6 x - 1

2 \frac{3}{8} + 1 \frac{3}{4}

4 \cdot 21

4 \cdot 30

\frac{tan ^{2} ( θ ) csc ^{2} ( θ ) - 1}{sec ^{2} ( θ )}

What is (5 1/4*(4/3)^2)/((7/3)^2+2 1/7) ?
The solution to (5 1/4*(4/3)^2)/((7/3)^2+2 1/7) is 1 55/239