To find out which rational number is one tick mark to the right of \(-\frac{6}{4}\), we first simplify \(-\frac{6}{4}\):
\[ -\frac{6}{4} = -\frac{3}{2} = -1.5 \]
Next, we look for one tick mark to the right of \(-\frac{3}{2}\) (or \(-1.5\)) on the number line, which increments by \(1/4\) (as there are 4 equal spaces between each whole number).
Starting from \(-1.5\), we can add \(0.25\) (which is \( \frac{1}{4} \)):
\[ -1.5 + 0.25 = -1.25 \]
The decimal \(-1.25\) can be converted back to a fraction:
\[ -1.25 = -\frac{5}{4} \]
Now we compare \(-\frac{5}{4}\) to the given options:
- Negative one and three-fourths: \(-1.75 = -\frac{7}{4}\)
- Negative 1 and one-fourth: \(-1.25 = -\frac{5}{4}\) (Correct)
- 1 and one-fourth: \(1.25 = \frac{5}{4}\)
- 1 and three-fourths: \(1.75 = \frac{7}{4}\)
The rational number that is one tick mark to the right of \(-\frac{6}{4}\) is:
Negative 1 and one-fourth.
1 answer