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What is -3/5 x 5/16 x 7/12 ➗-3/16 x -5/7?

1 Answer

3 votes

Answer:

-49/60.

Explanation:

To simplify the expression -3/5 x 5/16 x 7/12 ÷ -3/16 x -5/7, we can follow these steps:

1. Multiply the numerators and denominators of all the fractions together:

(-3 x 5 x 7) / (5 x 16 x 12) ÷ (-3 x -5) / (16 x 7)

2. Simplify the multiplication of the numerators and denominators separately:

-105 / 960 ÷ 15 / 112

3. When dividing fractions, we can multiply by the reciprocal of the second fraction:

-105 / 960 x 112 / 15

4. Multiply the numerators and denominators together:

(-105 x 112) / (960 x 15)

5. Simplify the multiplication:

-11760 / 14400

6. Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:

-49 / 60

User Jerry G
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