Dividing Mixed Numbers: 1 1/4 ÷ 1 2/5
This article will guide you through the process of dividing mixed numbers, specifically 1 1/4 ÷ 1 2/5.
Understanding the Process
Dividing mixed numbers involves a few steps:
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Convert mixed numbers to improper fractions:
- 1 1/4: Multiply the whole number (1) by the denominator (4) and add the numerator (1). Keep the same denominator. This gives us 5/4.
- 1 2/5: Multiply the whole number (1) by the denominator (5) and add the numerator (2). Keep the same denominator. This gives us 7/5.
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Flip the second fraction and multiply:
- Instead of dividing by 7/5, we multiply by its reciprocal, 5/7.
- Our equation now looks like this: 5/4 × 5/7
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Multiply the numerators and denominators:
- (5 × 5) / (4 × 7) = 25/28
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Simplify if possible:
- In this case, 25/28 cannot be simplified further.
The Answer
Therefore, 1 1/4 ÷ 1 2/5 = 25/28.