Add 40/45 and 32/70
40/45 + 32/70 is 424/315.
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,
32/70 = 32 × 9/70 × 9 = 288/630 - Add the two like fractions:
560/630 + 288/630 = 560 + 288/630 = 848/630 - 848/630 simplified gives 424/315
- So, 40/45 + 32/70 = 424/315
In mixed form: 1109/315
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