Solve.

x+3.5=4 1/3

Responses

x=4/5
x equals fraction 4 over 5

x=5/6
x equals fraction 5 over 6

x=47/6
x equals fraction 47 over 6

I don't know.

1 answer

To solve the equation x + 3.5 = 4 1/3, we need to convert the mixed number 4 1/3 into an improper fraction.
The improper fraction equivalent of 4 1/3 is (4 × 3 + 1) / 3 = 13/3.

So, the equation becomes x + 3.5 = 13/3.

To solve for x, we need to isolate x on one side of the equation.

Subtracting 3.5 from both sides, we get:

x + 3.5 - 3.5 = 13/3 - 3.5
x = 13/3 - 3.5

To subtract fractions, we need to have a common denominator. The least common multiple of 3 and 2 (denominator of 3.5) is 6, so we'll express both fractions with a denominator of 6.

x = (13/3) * (2/2) - (3.5 * 6/6)
x = 26/6 - 21/6
x = (26 - 21)/6
x = 5/6

Therefore, the solution to the equation x + 3.5 = 4 1/3 is x = 5/6.