To change fractions into equal values, we can use these simple methods:
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Finding Equivalent Fractions:
- You can multiply or divide the top number (numerator) and the bottom number (denominator) by the same number that isn’t zero.
- For example, if you want to find a fraction that is the same as 21, you can multiply both numbers by 2:
2×21×2=42.
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Using the Lowest Common Denominator (LCD):
- First, find the smallest number that both denominators can divide into evenly.
- For example, if you want to change 31 and 41, the smallest common number (LCD) is 12.
- Here’s how you change them:
31=124,41=123.
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Simplifying Fractions:
- You can also make fractions easier by dividing both numbers by the biggest number that fits into both (greatest common divisor or GCD).
- For example, with 128, the GCD is 4, so you do this:
12÷48÷4=32.
These methods help you understand and find equal fractions in a simple way!