Which fraction is halfway between -1/2 and 1/3

1 answer

To find the fraction that is halfway between -1/2 and 1/3, we need to calculate the average of these two fractions.

(-1/2 + 1/3) ÷ 2

To perform this calculation, we first need to find a common denominator for -1/2 and 1/3, which is 6.

-1/2 = -3/6
1/3 = 2/6

Thus, the calculation becomes:

(-3/6 + 2/6) ÷ 2

To combine the fractions, we subtract the numerators:

(-3/6 + 2/6) ÷ 2 = (-1/6) ÷ 2

To divide a fraction, we multiply it by the reciprocal of the divisor:

(-1/6) ÷ 2 = (-1/6) * (1/2)

Multiplying the numerator and denominator together, we get:

(-1/6) * (1/2) = -1/12

Therefore, the fraction that is halfway between -1/2 and 1/3 is -1/12.