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A is 8/5 b is 3/4 c is 5/8 find the value of (a×b)×c?
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A is 8/5 b is 3/4 c is 5/8 find the value of (a×b)×c?
Step 1: Understand the Values
- A = 8/5
- B = 3/4
- C = 5/8
Step 2: Calculate A × B
- To find A × B, multiply the numerators together and the denominators together:
- Numerator: 8 × 3 = 24
- Denominator: 5 × 4 = 20
- Therefore, A × B = 24/20
Step 3: Simplify A × B
- To simplify 24/20, divide both the numerator and denominator by their greatest common divisor (GCD), which is 4:
- 24 ÷ 4 = 6
- 20 ÷ 4 = 5
- So, A × B = 6/5
Step 4: Calculate (A × B) × C
- Now, we need to multiply (A × B) by C:
- (6/5) × (5/8)
- Multiply the numerators: 6 × 5 = 30
- Multiply the denominators: 5 × 8 = 40
- Therefore, (A × B) × C = 30/40
Step 5: Simplify the Final Result
- To simplify 30/40, divide both by their GCD, which is 10:
- 30 ÷ 10 = 3
- 40 ÷ 10 = 4
- So, (A × B) × C = 3/4
Final Answer
- The value of (A × B) × C is 3/4.
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A is 8/5 b is 3/4 c is 5/8 find the value of (a×b)×c?
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