Add 27/98 and 45/48
27/98 + 45/48 is 951/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 98 × 24 = 2352,
27/98 = 27 × 24/98 × 24 = 648/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
45/48 = 45 × 49/48 × 49 = 2205/2352 - Add the two like fractions:
648/2352 + 2205/2352 = 648 + 2205/2352 = 2853/2352 - 2853/2352 simplified gives 951/784
- So, 27/98 + 45/48 = 951/784
In mixed form: 1167/784
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