Add 40/90 and 45/48
40/90 + 45/48 is 199/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 48 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 90 × 8 = 720,
40/90 = 40 × 8/90 × 8 = 320/720 - Likewise, for the 2nd fraction, since 48 × 15 = 720,
45/48 = 45 × 15/48 × 15 = 675/720 - Add the two like fractions:
320/720 + 675/720 = 320 + 675/720 = 995/720 - 995/720 simplified gives 199/144
- So, 40/90 + 45/48 = 199/144
In mixed form: 155/144
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