Add 49/14 and 9/80, Solve 3 7/14 + 9/80 as a fraction

Add 49/14 and 9/80

1^st number: 3 7/14, 2^nd number: 9/80

49/14 + 9/80 is 289/80.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 80 is 560

Next, find the equivalent fraction of both fractional numbers with denominator 560
For the 1st fraction, since 14 × 40 = 560,
49/14 = 49 × 40/14 × 40 = 1960/560
Likewise, for the 2nd fraction, since 80 × 7 = 560,
9/80 = 9 × 7/80 × 7 = 63/560
Add the two like fractions:
1960/560 + 63/560 = 1960 + 63/560 = 2023/560
2023/560 simplified gives 289/80
So, 49/14 + 9/80 = 289/80
In mixed form: 349/80

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