How to Convert 0.85 to a Fraction: A Step-by-Step Guide

Converting a decimal like 0.85 to a fraction involves understanding its place value and simplifying the resulting fraction. Here's how to do it:

Identify the place value: The last digit '5' in 0.85 is in the hundredths place. This means it represents 5/100 or 1/20 of a whole number.
Represent as a fraction: Write 0.85 as a fraction with 85 as the numerator and 100 as the denominator: 85/100.
Simplify the fraction: Find the greatest common factor (GCF) of 85 and 100, which is 5. Divide both the numerator and denominator by 5:

85/100 = (85 ￷ 5) / (100 ￷ 5) = 17/20

Therefore, 0.85 as a fraction in its simplest form is 17/20.

In conclusion: Converting 0.85 to a fraction involves understanding the place value of the decimal digits and simplifying the resulting fraction. This process can be applied to any decimal number to express it as a fraction.