Add 7/40 and 49/45, Solve 7/40 + 1 4/45 as a fraction

Add 7/40 and 49/45

1^st number: 7/40, 2^nd number: 1 4/45

7/40 + 49/45 is 91/72.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360

Next, find the equivalent fraction of both fractional numbers with denominator 360
For the 1st fraction, since 40 × 9 = 360,
7/40 = 7 × 9/40 × 9 = 63/360
Likewise, for the 2nd fraction, since 45 × 8 = 360,
49/45 = 49 × 8/45 × 8 = 392/360
Add the two like fractions:
63/360 + 392/360 = 63 + 392/360 = 455/360
455/360 simplified gives 91/72
So, 7/40 + 49/45 = 91/72
In mixed form: 119/72

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