Add 42/45 and 10/21
42/45 + 10/21 is 148/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
10/21 = 10 × 15/21 × 15 = 150/315 - Add the two like fractions:
294/315 + 150/315 = 294 + 150/315 = 444/315 - 444/315 simplified gives 148/105
- So, 42/45 + 10/21 = 148/105
In mixed form: 143/105
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