Question

Write as fraction into the lowest term $0.125$ ?

Answer 1

Step 1: Remove the decimal point

Remove decimal and place $1$ in denominator and put three $0$ after $1$, because there are three digits after the decimal.

$0.125=\frac{125}{1000}$

Step 2: Find the greatest common factor of $125$ and $1000$

Find the prime factorisation of $125$

$125=5\times 5\times 5$

Find the prime factorisation of $1000$

$1000=2\times 2\times 2\times 5\times 5\times 5$

To find the G.C.F, multiply all the prime factors common to both numbers.

Therefore, G.C.F of $125$ and $1000$ $=5\times 5\times 5=125$

Step 3: Divide both numerator and denominator by their GCF

$\frac{125÷125}{1000÷125}=\frac{1}{8}$

Hence, the corresponding fractional form of $0.125$ in simplified form is $\frac{1}{8}$