1 1/15 X 5 2/5 X 4 7/12

2 min read Jun 11, 2024
1 1/15 X 5 2/5 X 4 7/12

Operations with Mixed Numbers

In this article, we will work with mixed numbers and perform operations to evaluate the expression: 1 1/15 x 5 2/5 x 4 7/12.

Step 1: Convert mixed numbers to improper fractions

To make the calculation easier, let's convert each mixed number 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 fractions

Now, let's multiply the improper fractions:

(16 / 15) × (27 / 5) × (55 / 12)

To multiply fractions, we multiply the numerators and denominators separately:

Numerator: 16 × 27 × 55 = 23760 Denominator: 15 × 5 × 12 = 900

So, the result of the multiplication is:

23760 / 900

Step 3: Simplify the fraction

We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD):

GCD(23760, 900) = 60

Now, divide both numerator and denominator by 60:

23760 ÷ 60 = 396 900 ÷ 60 = 15

So, the simplified result is:

396 / 15

Final Answer

The final answer is 26 6/15.

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