Add 40/45 and 45/7, Solve 40/45 + 6 3/7 as a fraction

Add 40/45 and 45/7

1^st number: 40/45, 2^nd number: 6 3/7

40/45 + 45/7 is 461/63.

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,
40/45 = 40 × 7/45 × 7 = 280/315
Likewise, for the 2nd fraction, since 7 × 45 = 315,
45/7 = 45 × 45/7 × 45 = 2025/315
Add the two like fractions:
280/315 + 2025/315 = 280 + 2025/315 = 2305/315
2305/315 simplified gives 461/63
So, 40/45 + 45/7 = 461/63
In mixed form: 720/63

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