1 1/4 Times 5 3/5

2 min read Jun 17, 2024
1 1/4 Times 5 3/5

Multiplying Mixed Numbers: 1 1/4 x 5 3/5

This article will guide you through the steps of multiplying mixed numbers, specifically focusing on the problem: 1 1/4 x 5 3/5.

Converting to Improper Fractions

The first step is to convert the mixed numbers into improper fractions.

  • 1 1/4 becomes 5/4 (multiply the whole number by the denominator, add the numerator, and keep the denominator).
  • 5 3/5 becomes 28/5.

Now our problem looks like this: (5/4) x (28/5).

Multiplying Fractions

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

  • (5/4) x (28/5) = (5 x 28) / (4 x 5)

Simplifying

Before multiplying, we can simplify the problem by canceling out common factors in the numerator and denominator:

  • (5 x 28) / (4 x 5) = (1 x 7) / (1 x 1)

Now, we multiply the simplified fractions:

  • (1 x 7) / (1 x 1) = 7/1

Converting Back to Mixed Number

Finally, we convert the improper fraction back to a mixed number:

  • 7/1 = 7

Therefore, 1 1/4 x 5 3/5 = 7.

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