Add 35/90 and 49/14
1st number: 35/90, 2nd number: 3 7/14
35/90 + 49/14 is 35/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 14 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,
35/90 = 35 × 7/90 × 7 = 245/630 - Likewise, for the 2nd fraction, since 14 × 45 = 630,
49/14 = 49 × 45/14 × 45 = 2205/630 - Add the two like fractions:
245/630 + 2205/630 = 245 + 2205/630 = 2450/630 - 2450/630 simplified gives 35/9
- So, 35/90 + 49/14 = 35/9
In mixed form: 38/9
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