Add 30/98 and 45/48
30/98 + 45/48 is 975/784.
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,
30/98 = 30 × 24/98 × 24 = 720/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
45/48 = 45 × 49/48 × 49 = 2205/2352 - Add the two like fractions:
720/2352 + 2205/2352 = 720 + 2205/2352 = 2925/2352 - 2925/2352 simplified gives 975/784
- So, 30/98 + 45/48 = 975/784
In mixed form: 1191/784
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