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Which is greater: or ?

Class 7Fractions and DecimalsFractions and Decimals
  • A
  • B
  • CThey are equal
  • DThey cannot be compared

Step-by-Step Solution

Both sums use LCM 12. First: . Second: . They match exactly. The trap is deciding by eye that the sum containing the biggest single fraction, , must win.
Answer: C) They are equal

Key idea: Adding and subtracting unlike fractions

Step 1: find the **LCM of the denominators**. Step 2: convert each fraction to an equivalent fraction with that LCM as the new denominator. Step 3: now the fractions are 'like' — add or subtract numerators, keep denominator.

Example: 1/3 + 1/4. LCM of 3 and 4 is 12. Convert: 1/3 = 4/12, 1/4 = 3/12. Add: 4/12 + 3/12 = 7/12.

The whole job is converting once you've picked the right common denominator.

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