Question

which decimal is equivalent to $1\frac{5}{8}$?\
\bigcirc\\ \\ 1.58\
\bigcirc\\ \\ $1.\overline{58}$\
\bigcirc\\ \\ 1.625\
\bigcirc\\ \\ $1.\overline{625}$

Explanation:

Step1: Convert fraction to decimal

To convert the fraction $\frac{5}{8}$ to a decimal, we perform the division: $5 \div 8$.
We know that $8\times0.6 = 4.8$, and $5 - 4.8 = 0.2$. Then, $0.2\div8 = 0.025$. So, $0.6 + 0.025 = 0.625$.

Step2: Add the whole number

The mixed number is $1\frac{5}{8}$, so we add the whole number part (1) to the decimal we just found: $1 + 0.625 = 1.625$. Since $\frac{5}{8}$ is a terminating fraction (the division results in a finite decimal), there is no repeating part.

Answer:

1.625 (the option with 1.625 without the repeating bar, i.e., the third option: 1.625)