Add 40/45 and 7/40
40/45 + 7/40 is 383/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
40/45 = 40 × 8/45 × 8 = 320/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
7/40 = 7 × 9/40 × 9 = 63/360 - Add the two like fractions:
320/360 + 63/360 = 320 + 63/360 = 383/360 - So, 40/45 + 7/40 = 383/360
In mixed form: 123/360
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+7/40 40/45+14/40 40/90+7/40 40/45+7/80 40/45+21/40 40/45+35/40 40/45+49/40