What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
Negative 1 and one-fourth + one-half
A number line going from negative 3 to 0 in increments of one-fourth.
A. Negative 1 and three-fourths
B. Negative 1 and one-half
C. Negative three-fourths
D. Negative one-half
To find the sum of the fractions, we need to calculate the sum of their values on the number line.
Starting at negative 1 and one-fourth on the number line, we can count one-half in the positive direction. One-half is equivalent to two-fourths, so we count two more increments on the number line.
We reach "Negative 1 and three-fourths" on the number line, so the sum of the fractions is:
Negative 1 and one-fourth + one-half = Negative 1 and three-fourths
Therefore, the answer is A. Negative 1 and three-fourths.