To solve the expression (-3 ÷ (3/4) × (-5/16) ÷ (5/7), we can follow these steps:
Step 1: Simplify the expression within the parentheses.
(-3 ÷ (3/4)) can be simplified as -3 * (4/3) = -12/3 = -4
Step 2: Simplify the expression outside the parentheses.
(-4 × (-5/16) ÷ (5/7))
To simplify the multiplication (-4 × (-5/16)), we multiply the numerators and denominators:
-4 × (-5) = 20
1 × 16 = 16
So, -4 × (-5/16) is equal to 20/16.
Now, the expression becomes 20/16 ÷ (5/7).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(20/16) ÷ (5/7) = (20/16) × (7/5)
Next, we multiply the numerators and denominators:
20 × 7 = 140
16 × 5 = 80
So, (20/16) ÷ (5/7) is equal to 140/80.
Now, we can simplify the fraction 140/80 by dividing both the numerator and denominator by their greatest common factor, which is 20:
140 ÷ 20 = 7
80 ÷ 20 = 4
Therefore, the simplified fraction is 7/4.
As a final step, the expression becomes:
7/4
Use the properties of operations and rules for multiplying and dividing to solve:
(-3(÷(3/4)×(-5/16)÷(5/7)
1 answer
1 answer