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In the rectangle, some columns are shaded blue and some rows are shaded yellow; the cells shaded both ways are orange. Which multiplication, with its answer, does the orange part show?

Class 7Fractions and DecimalsFractions and Decimals
  • A3/4 + 2/3 = 17/12
  • B
  • C
  • D

Step-by-Step Solution

Blue covers 3 of 4 columns ; yellow covers 2 of 3 rows . The orange part is of : 6 of the 12 cells, so .
Answer: B)

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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