Table Of Contents
Last updated on March 29th, 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. A fraction represents 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, 1.7778. We are going to learn how to convert a decimal to a fraction.
The answer for 1.7778 as a fraction will be 8889/5000.
Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 1.7778 is the number on the numerator and the base number 1 will be the denominator. Then, 1.7778 becomes 1.7778/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 1.7778/1 × 10000/10000 = 17778/10000
Step 3: Here 2 is the GCD of 17778 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 2. 17778/10000 = 8889/5000 Hence, 1.7778 is in the form of fraction 8889/5000.
Thus, 1.7778 can be written as a fraction 8889/5000.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
GCD (Greatest Common Divisor): The largest positive integer that divides each of the integers without a remainder, used to simplify fractions.