Add 1/4 and 45/42, Solve 1/4 + 1 3/42 as a fraction

Add 1/4 and 45/42

1^st number: 1/4, 2^nd number: 1 3/42

1/4 + 45/42 is 37/28.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 4 × 21 = 84,
1/4 = 1 × 21/4 × 21 = 21/84
Likewise, for the 2nd fraction, since 42 × 2 = 84,
45/42 = 45 × 2/42 × 2 = 90/84
Add the two like fractions:
21/84 + 90/84 = 21 + 90/84 = 111/84
111/84 simplified gives 37/28
So, 1/4 + 45/42 = 37/28
In mixed form: 19/28

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