0.7777777778 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. 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, 0.7777777778, we are going to learn how to convert a decimal to a fraction.

What is 0.7777777778 as a Fraction?

$0.7777777778 as a fraction$

Answer

The answer for 0.7777777778 as a fraction will be 7/9.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any repeating decimal should be written as a repeating fraction. Here, 0.7777777778 is approximately 0.7777... which can be expressed as x = 0.7777...

Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 7.7777...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 7.7777... - 0.7777... 9x = 7

Step 4: Solve for x: x = 7/9

Thus, 0.7777777778 can be written as a fraction 7/9.

Important Glossaries for 0.7777777778 as a Fraction

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.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.