What is (1/5-5/4)/(7/2-3/4) ?

The solution to (1/5-5/4)/(7/2-3/4) is -21/55

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simplify (1/5-5/4)/(7/2-3/4)

simplify

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

- \frac{21}{55}

Decimal Notation

- 0.38181 \dots

Solution steps

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

\frac{1}{5} - \frac{5}{4} = - \frac{21}{20}

= \frac{- \frac{21}{20}}{\frac{7}{2} - \frac{3}{4}}

\frac{7}{2} - \frac{3}{4} = \frac{11}{4}

= \frac{- \frac{21}{20}}{\frac{11}{4}}

Apply the fraction rule:

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

= - \frac{\frac{21}{20}}{\frac{11}{4}}

Apply the fraction rule:

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

\frac{\frac{21}{20}}{\frac{11}{4}} = \frac{21 \cdot 4}{20 \cdot 11}

= - \frac{21 \cdot 4}{20 \cdot 11}

Cancel

- \frac{21 \cdot 4}{20 \cdot 11} : - \frac{21}{55}

= - \frac{21}{55}

16 g h + 24 g - 2 h - 3

s^{2} + 7 s = - 20

lo g_{7} (7^{6})

5 < \frac{13 x - 5}{4} < 8

2 x^{3} + 2