Multiply and divide rational numbers click check use the properties of operation and rules for multiplying and dividing to solve 9÷5/4×7/9×-5÷7/2

Answer 1

To simplify the expression 9 ÷ 5/4 × 7/9 × -5 ÷ 7/2, we can use the properties of operations and rules for multiplying and dividing rational numbers.

First, let's simplify the division parts:

9 ÷ 5/4 = 9 × 4/5 = 36/5

-5 ÷ 7/2 = -5 × 2/7 = -10/7

Next, let's multiply the fractions together:

36/5 × 7/9 × -10/7

To simplify this expression, we can cancel out common factors:

36 and 9 have a common factor of 9, canceling out to leave 4 in the numerator.

5 and 10 have a common factor of 5, canceling out to leave 2 in the denominator.

The expression becomes:

4/1 × 1/1 × -2/7

Multiplying all the numerators and denominators together:

(4 × 1 × -2) / (1 × 1 × 7)

-8/7

Therefore, 9 ÷ 5/4 × 7/9 × -5 ÷ 7/2 simplifies to -8/7.