Add 40/45 and 63/70
40/45 + 63/70 is 161/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 70 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
40/45 = 40 × 14/45 × 14 = 560/630 - Likewise, for the 2nd fraction, since 70 × 9 = 630,
63/70 = 63 × 9/70 × 9 = 567/630 - Add the two like fractions:
560/630 + 567/630 = 560 + 567/630 = 1127/630 - 1127/630 simplified gives 161/90
- So, 40/45 + 63/70 = 161/90
In mixed form: 171/90
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