Add 40/75 and 27/98
40/75 + 27/98 is 1189/1470.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 98 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 75 × 98 = 7350,
40/75 = 40 × 98/75 × 98 = 3920/7350 - Likewise, for the 2nd fraction, since 98 × 75 = 7350,
27/98 = 27 × 75/98 × 75 = 2025/7350 - Add the two like fractions:
3920/7350 + 2025/7350 = 3920 + 2025/7350 = 5945/7350 - 5945/7350 simplified gives 1189/1470
- So, 40/75 + 27/98 = 1189/1470
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