Add 49/32 and 36/90
1st number: 1 17/32, 2nd number: 36/90
49/32 + 36/90 is 309/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 90 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
49/32 = 49 × 45/32 × 45 = 2205/1440 - Likewise, for the 2nd fraction, since 90 × 16 = 1440,
36/90 = 36 × 16/90 × 16 = 576/1440 - Add the two like fractions:
2205/1440 + 576/1440 = 2205 + 576/1440 = 2781/1440 - 2781/1440 simplified gives 309/160
- So, 49/32 + 36/90 = 309/160
In mixed form: 1149/160
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