Add 9/35 and 75/45, Solve 9/35 + 1 30/45 as a fraction

Add 9/35 and 75/45

1^st number: 9/35, 2^nd number: 1 30/45

9/35 + 75/45 is 202/105.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 35 × 9 = 315,
9/35 = 9 × 9/35 × 9 = 81/315
Likewise, for the 2nd fraction, since 45 × 7 = 315,
75/45 = 75 × 7/45 × 7 = 525/315
Add the two like fractions:
81/315 + 525/315 = 81 + 525/315 = 606/315
606/315 simplified gives 202/105
So, 9/35 + 75/45 = 202/105
In mixed form: 197/105

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