Add 40/70 and 75/16, Solve 40/70 + 4 11/16 as a fraction

Add 40/70 and 75/16

1^st number: 40/70, 2^nd number: 4 11/16

40/70 + 75/16 is 589/112.

Find the least common denominator or LCM of the two denominators:
LCM of 70 and 16 is 560

Next, find the equivalent fraction of both fractional numbers with denominator 560
For the 1st fraction, since 70 × 8 = 560,
40/70 = 40 × 8/70 × 8 = 320/560
Likewise, for the 2nd fraction, since 16 × 35 = 560,
75/16 = 75 × 35/16 × 35 = 2625/560
Add the two like fractions:
320/560 + 2625/560 = 320 + 2625/560 = 2945/560
2945/560 simplified gives 589/112
So, 40/70 + 75/16 = 589/112
In mixed form: 529/112

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