To solve this equation, we need to first convert all the mixed numbers into improper fractions.
40 5/12 = (40 * 12 + 5) / 12 = 485 / 12
61 4/15 = (61 * 15 + 4) / 15 = 919 / 15
So the equation becomes:
485/12 + x = 919/15
To solve for x, we need to get a common denominator. LCM of 12 and 15 is 60.
Multiplying the first fraction by 5/5 and the second fraction by 4/4 to get a common denominator of 60:
485/12 5/5 = 2425/60919/15 4/5 = 3676/60
Now the equation becomes:
2425/60 + x = 3676/60
Subtracting 2425/60 from both sides:
x = 3676/60 - 2425/60x = 1251/60
Therefore, x = 20 31/60.
To solve this equation, we need to first convert all the mixed numbers into improper fractions.
40 5/12 = (40 * 12 + 5) / 12 = 485 / 12
61 4/15 = (61 * 15 + 4) / 15 = 919 / 15
So the equation becomes:
485/12 + x = 919/15
To solve for x, we need to get a common denominator. LCM of 12 and 15 is 60.
Multiplying the first fraction by 5/5 and the second fraction by 4/4 to get a common denominator of 60:
485/12 5/5 = 2425/60
919/15 4/5 = 3676/60
Now the equation becomes:
2425/60 + x = 3676/60
Subtracting 2425/60 from both sides:
x = 3676/60 - 2425/60
x = 1251/60
Therefore, x = 20 31/60.