Do you know how to convert decimals to fractions? If not, don’t worry. In this article, I will show you how to convert .625 as a fraction in simplest form. This is a useful skill to have, especially when you need to compare or perform operations with fractions and decimals.

What is a Decimal Number?

A decimal number is a number that has a decimal point in it. The decimal point separates the whole part of the number from the fractional part. For example, in the number 3.14, the whole part is 3 and the fractional part is 0.14.

The fractional part of a decimal number can be written as a fraction with a denominator of 10, 100, 1000, or any power of 10. For example, 0.14 can be written as 14/100, which means 14 out of 100.

What is a Fraction?

A fraction is a way of expressing a part of a whole. A fraction has two parts: a numerator and a denominator. The numerator is the top number and the denominator is the bottom number. For example, in the fraction 2/3, the numerator is 2 and the denominator is 3.

The numerator tells us how many parts we have and the denominator tells us how many parts the whole is divided into. For example, 2/3 means we have 2 parts out of 3 equal parts.

How to Convert .625 as a Fraction

To convert .625 as a fraction, we need to follow these steps:

  • Write down the decimal number as a fraction with 1 as the denominator. This means we put the decimal number over 1. For example, .625 = .625/1.
  • Multiply both the numerator and the denominator by 10 for every digit after the decimal point. This means we move the decimal point to the right until it becomes a whole number. For example, .625 has three digits after the decimal point, so we multiply by 10 three times or by 1000. This gives us .625/1 x 1000/1000 = 625/1000.
  • Simplify or reduce the fraction by dividing both the numerator and the denominator by their greatest common factor (GCF). The GCF is the largest number that can divide both numbers evenly. For example, the GCF of 625 and 1000 is 125, so we divide by 125. This gives us 625/1000 ÷ 125/125 = 5/8.
  • Write the answer in simplest form. This means we cannot reduce the fraction any further. For example, 5/8 is in simplest form because there is no common factor between 5 and 8.
  • Therefore, .625 as a fraction in simplest form is 5/8.

    Why Do We Need to Convert Decimals to Fractions?

    Converting decimals to fractions can help us compare, add, subtract, multiply, or divide fractions and decimals more easily. For example, if we want to compare .625 and .75, we can convert them to fractions and see which one is larger or smaller.

    To compare fractions, we need to have a common denominator or make them equivalent fractions. For example, .625 as a fraction is 5/8 and .75 as a fraction is 3/4. To make them equivalent fractions, we can multiply both by 2 to get 10/16 and 12/16 respectively.

    Now we can see that 12/16 is larger than 10/16, so .75 is larger than .625.

    Conclusion

    In this article, I showed you how to convert .625 as a fraction in simplest form using four easy steps:

  • Write down the decimal number as a fraction with 1 as the denominator.
  • Multiply both the numerator and the denominator by 10 for every digit after the decimal point.
  • Simplify or reduce the fraction by dividing both the numerator and the denominator by their greatest common factor (GCF).
  • Write the answer in simplest form.
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