Table Of Contents
Last updated on March 10th, 2025
Numbers can be categorized into different types. Fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 2.23607, we are going to learn how to approximate this decimal as a fraction.
The answer for 2.23607 as a fraction can be approximated as 223607/100000.
Converting a decimal to a fraction involves expressing the decimal as a fraction with the denominator as a power of 10 and simplifying if possible. You can follow the steps mentioned below to find the answer.
Step 1: Any decimal number should first be expressed as a fraction with 1 in the denominator. Here, 2.23607 is the number, so it becomes 2.23607/1.
Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 100000 (because there are 5 decimal places). 2.23607/1 × 100000/100000 = 223607/100000
Step 3: If possible, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 223607 and 100000 is 1, so the fraction is already in its simplest form.
Thus, 2.23607 can be approximated as a fraction 223607/100000.