solve the equation
1 third x + 5 eights x =46
To solve the equation, we need to simplify and combine like terms on the left side of the equation.
1/3x + 5/8x = 46
First, let's find a common denominator for 1/3 and 5/8, which is 24.
(8/24)x + (15/24)x = 46
Now we can combine the two fractions:
(8x + 15x)/24 = 46
Combining like terms:
23x/24 = 46
To isolate x, we multiply both sides of the equation by the reciprocal of 23/24, which is 24/23.
(23x/24) * (24/23) = 46 * (24/23)
x = 46 * 24/23
Simplifying the right side:
x = 48
Therefore, the solution to the equation is x = 48.