Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Convert the decimal below to a fraction in simplest form.

0.995
Answer:

Convert the decimal below to a fraction in simplest form.\newline0.995 0.995 \newlineAnswer:

Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.995 0.995 \newlineAnswer:
  1. Convert to Fraction: Express the decimal 0.9950.995 as a fraction with a denominator that reflects its place value.\newline0.9950.995 can be written as 9951000\frac{995}{1000} since there are three digits after the decimal point, which corresponds to the thousandths place.
  2. Find GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 995995 and 10001000 is 55.
  3. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline995÷5=199995 \div 5 = 199\newline1000÷5=2001000 \div 5 = 200\newlineSo, 9951000\frac{995}{1000} simplifies to 199200\frac{199}{200}.

More problems from Add and subtract complex numbers