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.