Add 24/45 and 72/49, Solve 24/45 + 1 23/49 as a fraction

Add 24/45 and 72/49

1^st number: 24/45, 2^nd number: 1 23/49

24/45 + 72/49 is 1472/735.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205

Next, find the equivalent fraction of both fractional numbers with denominator 2205
For the 1st fraction, since 45 × 49 = 2205,
24/45 = 24 × 49/45 × 49 = 1176/2205
Likewise, for the 2nd fraction, since 49 × 45 = 2205,
72/49 = 72 × 45/49 × 45 = 3240/2205
Add the two like fractions:
1176/2205 + 3240/2205 = 1176 + 3240/2205 = 4416/2205
4416/2205 simplified gives 1472/735
So, 24/45 + 72/49 = 1472/735
In mixed form: 22/735

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