To solve the expression (-3) ÷ (3/4) ÷ (2/7) ÷ (-5/16) ÷ (5/7), we can use the rules for dividing fractions.
First, we need to simplify the division of the fractions. To divide two fractions, we flip the second fraction and multiply them.
(-3) ÷ (3/4) = (-3) * (4/3) = -12/3 = -4
Next, we divide -4 by the next fraction.
-4 ÷ (2/7) = -4 * (7/2) = -28/2 = -14
Then, we divide -14 by the next fraction.
-14 ÷ (-5/16) = -14 * (-16/5) = 224/5
Finally, we divide 224/5 by the last fraction.
224/5 ÷ (5/7) = 224/5 * (7/5) = 1568/25
So, the simplified expression is 1568/25.
Use the properties of operations and rules for multiplying and dividing to solve:
(-3) ÷ (3/4) ÷ (2/7) ÷ (-5/16) ÷ (5/7)
Explain your process.
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