Multiplying Fractions: 1 1/4 x 5
This article will guide you through multiplying the mixed number 1 1/4 by the whole number 5.
Understanding the steps:
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Convert the mixed number to an improper fraction:
- Multiply the whole number (1) by the denominator (4): 1 x 4 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the same denominator (4): The improper fraction is 5/4.
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Rewrite the whole number as a fraction:
- Any whole number can be written as a fraction by placing it over 1. So, 5 becomes 5/1.
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Multiply the numerators and the denominators:
- (5/4) x (5/1) = (5 x 5) / (4 x 1) = 25/4
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Simplify (if possible):
- In this case, the fraction 25/4 can be simplified to a mixed number.
- Divide the numerator (25) by the denominator (4): 25 ÷ 4 = 6 with a remainder of 1.
- The quotient (6) becomes the whole number part of the mixed number. The remainder (1) becomes the numerator of the fraction, and the denominator remains the same (4).
Therefore, 1 1/4 x 5 = 6 1/4