Add 42/9 and 21/5, Solve 4 6/9 + 4 1/5 as a fraction

Add 42/9 and 21/5

1^st number: 4 6/9, 2^nd number: 4 1/5

42/9 + 21/5 is 133/15.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 5 is 45

Next, find the equivalent fraction of both fractional numbers with denominator 45
For the 1st fraction, since 9 × 5 = 45,
42/9 = 42 × 5/9 × 5 = 210/45
Likewise, for the 2nd fraction, since 5 × 9 = 45,
21/5 = 21 × 9/5 × 9 = 189/45
Add the two like fractions:
210/45 + 189/45 = 210 + 189/45 = 399/45
399/45 simplified gives 133/15
So, 42/9 + 21/5 = 133/15
In mixed form: 813/15

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