Add 7/27 and 42/90
7/27 + 42/90 is 98/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 90 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
7/27 = 7 × 10/27 × 10 = 70/270 - Likewise, for the 2nd fraction, since 90 × 3 = 270,
42/90 = 42 × 3/90 × 3 = 126/270 - Add the two like fractions:
70/270 + 126/270 = 70 + 126/270 = 196/270 - 196/270 simplified gives 98/135
- So, 7/27 + 42/90 = 98/135
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