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

The solution to (4/5-5/3)/(3/4-5/2) is 52/105

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

simplify

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

\frac{52}{105}

Decimal Notation

0.49523 \dots

Solution steps

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

\frac{4}{5} - \frac{5}{3} = - \frac{13}{15}

= \frac{- \frac{13}{15}}{\frac{3}{4} - \frac{5}{2}}

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

= \frac{- \frac{13}{15}}{- \frac{7}{4}}

Apply the fraction rule:

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

= \frac{\frac{13}{15}}{\frac{7}{4}}

Apply the fraction rule:

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

= \frac{13 \cdot 4}{15 \cdot 7}

Multiply the numbers:

13 \cdot 4 = 52

= \frac{52}{15 \cdot 7}

Multiply the numbers:

15 \cdot 7 = 105

= \frac{52}{105}

π 7^{2}

\frac{b ^{4}}{b ^{2}}

(a - b) \cdot z + 3 (b - a)^{2}

6^{- 3}

x^{2} + 1.95 x - 0.259375 = 0