which of the following number lines shows the correct sum of the number above and $\frac{3}{2}$?\no a…
which of the following number lines shows the correct sum of the number above and $\frac{3}{2}$?\no a. ←———————————————————→\n0 1 2 $\frac{9}{4}$\no b. ←———————————————————→\n0 $\frac{4}{6}$ 1 2\no c. ←———————————————————→\n0 1 $\frac{7}{4}$ 2\no d. ←———————————————————→\n0 1 2
Answer
Explanation:
Step1: Find the sum of the two fractions
We need to add $\frac{1}{4}$ and $\frac{3}{2}$. First, make the denominators the same. Since $\frac{3}{2}=\frac{3\times2}{2\times2}=\frac{6}{4}$, then $\frac{1}{4}+\frac{3}{2}=\frac{1}{4}+\frac{6}{4}=\frac{1 + 6}{4}=\frac{7}{4}$.
Step2: Analyze the number - line options
We are looking for a number - line that has the point $\frac{7}{4}$ marked correctly.
Answer:
C.