Answer:
![(6)/(125)](https://img.qammunity.org/2023/formulas/mathematics/high-school/g3n93hw0s71u3cy7x8qfvee3v2rlx07uk3.png)
Explanation:
To convert a terminating decimal into a fraction, begin by dividing the decimal by 1:
![\implies (0.048)/(1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/yvwe3w1aaebn7sue7d5fwr7yerw92e1j4q.png)
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:
![\implies (0.048 * 1000)/(1 * 1000)=(48)/(1000)](https://img.qammunity.org/2023/formulas/mathematics/high-school/w5cac68q7bawhe7z3s56p2whvxgp2c7v7a.png)
Reduce the fraction by dividing the numerator and denominator by their highest common factor (HCF):
![\implies (48 / 8)/(1000 / 8)=(6)/(125)](https://img.qammunity.org/2023/formulas/mathematics/high-school/uhso0kziw2t5wgp2ocp2ifz5b8ouw08u26.png)