Add 10/45 and 45/21
1st number: 10/45, 2nd number: 2 3/21
10/45 + 45/21 is 149/63.
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,
10/45 = 10 × 7/45 × 7 = 70/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
45/21 = 45 × 15/21 × 15 = 675/315 - Add the two like fractions:
70/315 + 675/315 = 70 + 675/315 = 745/315 - 745/315 simplified gives 149/63
- So, 10/45 + 45/21 = 149/63
In mixed form: 223/63
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