Use the properties of operations and rules for multiplying and dividing to solve: (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)

Answer 1

To solve this problem, we will use the rules of multiplying and dividing fractions:
1. To multiply fractions, multiply the numerators together and multiply the denominators together.
2. To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Let's simplify the expression step by step:

Start with (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)

Step 1: Multiply the numerators and denominators together:
(-3 × 5 × 7) / (5 × 16 × 12) ÷ (-3 × -5) / (16 × 7)

Step 2: Simplify the numerator:
(-105) / (5 × 16 × 12) ÷ (15) / (16 × 7)

Step 3: Simplify the denominator:
(-105) / (960) ÷ (15) / (112)

Step 4: Divide by multiplying by the reciprocal:
(-105) / (960) × (112) / (15)

Step 5: Simplify the expression:
(-105 × 112) / (960 × 15)

Step 6: Simplify the numerator and denominator:
-11760 / 14400

Step 7: Reduce the fraction:
-49 / 60

Therefore, (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -49/60.

Answer 2

Use the properties of operations and rules for multiplying and dividing to solve: (−35)×(516)×(712)÷(−316)×(−57)