Add 42/90 and 90/98
42/90 + 90/98 is 1018/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 98 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 90 × 49 = 4410,
42/90 = 42 × 49/90 × 49 = 2058/4410 - Likewise, for the 2nd fraction, since 98 × 45 = 4410,
90/98 = 90 × 45/98 × 45 = 4050/4410 - Add the two like fractions:
2058/4410 + 4050/4410 = 2058 + 4050/4410 = 6108/4410 - 6108/4410 simplified gives 1018/735
- So, 42/90 + 90/98 = 1018/735
In mixed form: 1283/735
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