Step-by-Step Guide to Solving Mixed Fraction Multiplication
In this article, we will explore the multiplication of mixed fractions, specifically the problem: 1 1/15 × 5 2/5 × 4 7/12. To solve this problem, we will follow a step-by-step approach to break down each fraction and multiply them accordingly.
Step 1: Convert Mixed Fractions to Improper Fractions
First, let's convert each mixed fraction to an improper fraction:
- 1 1/15 = (15 + 1) / 15 = 16/15
- 5 2/5 = (25 + 2) / 5 = 27/5
- 4 7/12 = (48 + 7) / 12 = 55/12
Step 2: Multiply the Improper Fractions
Now, let's multiply the improper fractions:
- (16/15) × (27/5) = (16 × 27) / (15 × 5) = 432 / 75
- (432/75) × (55/12) = (432 × 55) / (75 × 12) = 23760 / 900
Step 3: Simplify the Fraction
Finally, let's simplify the resulting fraction:
- 23760 / 900 = 264 / 10 = 132 / 5
Therefore, the result of multiplying 1 1/15 × 5 2/5 × 4 7/12 is 132/5.
