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Comparing Fractions using Cross Multiplication
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To compare fractions, especially when they have different denominators, cross multiplication is a useful technique.
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Steps to Compare Fractions using Cross Multiplication:
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1. Identify the Fractions: First, identify the two fractions you want to compare. For example, let's compare 2/3 and 3/4.
2. Cross Multiply: Multiply the numerator of the first fraction by the denominator of the second fraction, and then multiply the denominator of the first fraction by the numerator of the second fraction.
- For 2/3 and 3/4: 2 x 4 = 8 and 3 x 3 = 9.
3. Compare the Results: Compare the results from step 2. The larger product indicates the larger fraction.
- In our example, 8 < 9,="" so="" 3/4="" is="" greater="" than="" />
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Example:
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Let's compare 2/5 and 3/7 using cross multiplication:
- Cross multiplying gives us 2 x 7 = 14 and 5 x 3 = 15.
- Since 14 < 15,="" 2/5="" is="" less="" than="" />
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By following these steps and using cross multiplication, you can easily compare fractions with different denominators.