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Deffense [45]
3 years ago
6

What is -5/6 divided by 9/10? A. -27/25 B. -4/3 C. -3/4 D. -25/27

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0
-\frac{5}{6} ÷ \frac{9}{10}

First, apply the rule (easiest way if you have learned it): a ÷ \frac{b}{c} = a × \frac{c}{b}
- \frac{5}{6} × \frac{10}{9}
Second, apply the last rule: \frac{a}{b} × \frac{c}{d} =  \frac{ac}{bd}
- \frac{5*10}{6*9}
Third, multiply 5 × 10 to get 50.
- \frac{50}{6*9}
Fourth, multiply 6 × 9 to get 54. 
-\frac{50}{54}
Fifth, find the GCF of 50 and 54.
The GCF should be 2.
Sixth, divide the numerator by the GCF. 
50 ÷ 2 = 25
Seventh, divide the denominator by the GCF.
54 ÷ 2 = 27
Eighth, now put 25 and 27 together to get the simplified fraction.
- \frac{25}{27}

Answer as fraction: -\frac{25}{27}
Answer as decimal: 0.9259

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