70.4 as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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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. Numbers in decimal form are expressed with a decimal point (.), for example, 70.4. We are going to learn how to convert a decimal to a fraction.

What is 70.4 as a Fraction?

$70.4 as a fraction$ Answer

The answer for 70.4 as a fraction is 352/5.

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 decimal number should be converted to a fraction for easy calculation. Here, 70.4 is the number on the numerator and the base number 1 will be the denominator. Then, 70.4 becomes 70.4/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 70.4/1 × 10/10 = 704/10

Step 3: Here, 2 is the GCD of 704 and 10. Now, to make the fraction simpler, divide the numerator and denominator by 2. 704/10 = 352/5 Hence, 70.4 is in the form of the fraction 352/5.

Thus, 70.4 can be written as a fraction 352/5.

Important Glossaries for 70.4 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.