Add 4/45 and 49/14, Solve 4/45 + 3 7/14 as a fraction

Add 4/45 and 49/14

1^st number: 4/45, 2^nd number: 3 7/14

4/45 + 49/14 is 323/90.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 14 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 45 × 14 = 630,
4/45 = 4 × 14/45 × 14 = 56/630
Likewise, for the 2nd fraction, since 14 × 45 = 630,
49/14 = 49 × 45/14 × 45 = 2205/630
Add the two like fractions:
56/630 + 2205/630 = 56 + 2205/630 = 2261/630
2261/630 simplified gives 323/90
So, 4/45 + 49/14 = 323/90
In mixed form: 353/90

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