Problem Statement
Simplify: 3/4 of 2/5 of 5/7 of 1400
Explanation
When we see 'of' in mathematics, it means multiplication. We need to multiply all the fractions with the number and simplify.
Method: Multiply all numerators and denominators, then multiply with 1400. Expression equals 3 divided by 4 times 2 divided by 5 times 5 divided by 7 times 1400. Step 1: Multiply fractions. Equals 3 times 2 times 5 times 1400 divided by 4 times 5 times 7. Equals 42000 divided by 140. Step 2: Cancel common factors before final division. 5 cancels with 5. Equals 3 times 2 times 1400 divided by 4 times 7 equals 8400 divided by 28 equals 300. Alternatively, simplify step by step: 1400 times 5 divided by 7 equals 1000. 1000 times 2 divided by 5 equals 400. 400 times 3 divided by 4 equals 300.
Code Solution
SolutionRead Only
// 'of' means multiplication (×) // Expression: 3/4 of 2/5 of 5/7 of 1400 // = 3/4 × 2/5 × 5/7 × 1400 // Method 1: Multiply all at once // = (3 × 2 × 5 × 1400) / (4 × 5 × 7) // = 42000 / 140 // = 300 // Method 2: Step by step // 5/7 of 1400 = (5 × 1400)/7 = 7000/7 = 1000 // 2/5 of 1000 = (2 × 1000)/5 = 2000/5 = 400 // 3/4 of 400 = (3 × 400)/4 = 1200/4 = 300 // Answer: 300
Practice Sets
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