Add 45/4 and 21/45, Solve 11 1/4 + 21/45 as a fraction

Add 45/4 and 21/45

1^st number: 11 1/4, 2^nd number: 21/45

45/4 + 21/45 is 703/60.

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

Next, find the equivalent fraction of both fractional numbers with denominator 180
For the 1st fraction, since 4 × 45 = 180,
45/4 = 45 × 45/4 × 45 = 2025/180
Likewise, for the 2nd fraction, since 45 × 4 = 180,
21/45 = 21 × 4/45 × 4 = 84/180
Add the two like fractions:
2025/180 + 84/180 = 2025 + 84/180 = 2109/180
2109/180 simplified gives 703/60
So, 45/4 + 21/45 = 703/60
In mixed form: 1143/60

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