What Is 77.5 As A Fraction, 77.5 is a decimal number that can be converted into a fraction using a simple mathematical formula., General, what-is-77-5-as-a-fraction, JPOSE
77.5 is a decimal number that can be converted into a fraction using a simple mathematical formula. To convert 77.5 into a fraction, we need to understand the basics of fractions and decimals.
A fraction is a part of a whole number. It is expressed in the form of a numerator and a denominator, where the numerator represents the number of parts we are interested in, and the denominator represents the total number of equal parts of the whole. For example, in the fraction 3/5, the numerator is 3, representing three parts of the whole, and the denominator is 5, representing five equal parts of the whole.
On the other hand, a decimal is a number expressed in the base-10 numbering system. It is a way of representing fractions in a more convenient and easy-to-understand manner. For example, the decimal number 0.75 represents 75% or three-fourths of a whole.
To convert 77.5 into a fraction, we need to follow these steps:
Step 1: Write down the decimal number as a fraction with 1 as the denominator. For example, 77.5 can be written as 77.5/1.
Step 2: Multiply both the numerator and denominator by 10 until there are no decimal places left. In this case, we need to multiply both the numerator and denominator by 10 two times (10 x 10 = 100). This gives us 775/100.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 775 and 100 is 25. Dividing both the numerator and denominator by 25 gives us 31/4.
Therefore, 77.5, when expressed as a fraction, is equal to 31/4. This means that 77.5 is equivalent to 31 parts of a whole, where the whole is divided into four equal parts.