Add 10/45 and 35/32, Solve 10/45 + 1 3/32 as a fraction

Add 10/45 and 35/32

1^st number: 10/45, 2^nd number: 1 3/32

10/45 + 35/32 is 379/288.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 32 is 1440

Next, find the equivalent fraction of both fractional numbers with denominator 1440
For the 1st fraction, since 45 × 32 = 1440,
10/45 = 10 × 32/45 × 32 = 320/1440
Likewise, for the 2nd fraction, since 32 × 45 = 1440,
35/32 = 35 × 45/32 × 45 = 1575/1440
Add the two like fractions:
320/1440 + 1575/1440 = 320 + 1575/1440 = 1895/1440
1895/1440 simplified gives 379/288
So, 10/45 + 35/32 = 379/288
In mixed form: 191/288

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