Add 72/42 and 49/40
1st number: 1 30/42, 2nd number: 1 9/40
72/42 + 49/40 is 823/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
72/42 = 72 × 20/42 × 20 = 1440/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
49/40 = 49 × 21/40 × 21 = 1029/840 - Add the two like fractions:
1440/840 + 1029/840 = 1440 + 1029/840 = 2469/840 - 2469/840 simplified gives 823/280
- So, 72/42 + 49/40 = 823/280
In mixed form: 2263/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/42+98/40 72/84+49/40 72/42+49/80