Answer:
[tex]\dfrac{6}{125}[/tex]
Step-by-step explanation:
To convert a terminating decimal into a fraction, begin by dividing the decimal by 1:
[tex]\implies \dfrac{0.048}{1}[/tex]
Multiply the numerator and denominator by 10 for every digit after the decimal point - this removes the decimal and creates a fraction.
As there are 3 digits after the decimal point, multiply the numerator and denominator by 10³ = 1000:
[tex]\implies \dfrac{0.048 \times 1000}{1 \times 1000}=\dfrac{48}{1000}[/tex]
Reduce the fraction by dividing the numerator and denominator by their highest common factor (HCF):
[tex]\implies \dfrac{48 \div 8}{1000 \div 8}=\dfrac{6}{125}[/tex]
