Add 10/45 and 45/4, Solve 10/45 + 11 1/4 as a fraction

Add 10/45 and 45/4

1^st number: 10/45, 2^nd number: 11 1/4

10/45 + 45/4 is 413/36.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180

Next, find the equivalent fraction of both fractional numbers with denominator 180
For the 1st fraction, since 45 × 4 = 180,
10/45 = 10 × 4/45 × 4 = 40/180
Likewise, for the 2nd fraction, since 4 × 45 = 180,
45/4 = 45 × 45/4 × 45 = 2025/180
Add the two like fractions:
40/180 + 2025/180 = 40 + 2025/180 = 2065/180
2065/180 simplified gives 413/36
So, 10/45 + 45/4 = 413/36
In mixed form: 1117/36

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