Add 10/45 and 30/7
1st number: 10/45, 2nd number: 4 2/7
10/45 + 30/7 is 284/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 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 7 × 45 = 315,
30/7 = 30 × 45/7 × 45 = 1350/315 - Add the two like fractions:
70/315 + 1350/315 = 70 + 1350/315 = 1420/315 - 1420/315 simplified gives 284/63
- So, 10/45 + 30/7 = 284/63
In mixed form: 432/63
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