Add 42/45 and 12/28
42/45 + 12/28 is 143/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 28 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
42/45 = 42 × 28/45 × 28 = 1176/1260 - Likewise, for the 2nd fraction, since 28 × 45 = 1260,
12/28 = 12 × 45/28 × 45 = 540/1260 - Add the two like fractions:
1176/1260 + 540/1260 = 1176 + 540/1260 = 1716/1260 - 1716/1260 simplified gives 143/105
- So, 42/45 + 12/28 = 143/105
In mixed form: 138/105
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