We have an answer to "Simplify −94(12)+3456"

Carolyn Moore

Answered question

2021-11-12

Simplify

- \frac{9}{4} (\frac{1}{2}) + \frac{\frac{3}{4}}{\frac{5}{6}}

Mollicchiuk

Beginner2021-11-13Added 13 answers

Step 1
Here we use the result that

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

and

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

, and we simplify the two fractions by taking L.C.M of 8 and 10 , that is 40 as shown on board.

- \frac{9}{4} (\frac{1}{2}) + \frac{\frac{3}{4}}{\frac{5}{6}} = - \frac{9}{8} + \frac{3}{4} \times \frac{6}{5} = - \frac{9}{8} + \frac{3}{2} \times \frac{3}{5}

= - \frac{9}{8} + \frac{9}{10} = \frac{- 45 + 36}{40} = - \frac{9}{40}

Step 2
Ans:

\frac{- 9}{40}

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