Fractions are a fundamental aspect of mathematics that can be used to express a portion of a whole. In this guide, we will explore how to express .625 as a fraction.

First, let's take a look at what .625 means. This number can be expressed in decimal form, but it can also be written as a fraction. The first step in converting .625 to a fraction is to identify the place value of the last digit. In this case, the 5 is in the thousandths place.

To convert a decimal to a fraction, we can use the following steps:

1. Write the decimal as a fraction with the decimal number as the numerator and 1 as the denominator. In this case, .625 can be written as 0.625/1.
2. Multiply both the numerator and denominator by 10 to move the decimal point one place to the right. This gives us 6.25/10.
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 6.25 and 10 is 1. Dividing both by 1 gives us the simplified fraction of 625/1000.
4. Reduce the fraction to its lowest terms. We can do this by dividing both the numerator and denominator by their greatest common factor, which in this case is 125. Dividing both by 125 gives us the final fraction of 5/8.

Therefore, .625 can be expressed as the fraction 5/8. It is important to note that decimals can always be expressed as fractions, and that knowing how to convert between these forms can be useful in a variety of mathematical and practical situations.

In addition to converting decimals to fractions, it is also useful to be able to perform operations on fractions themselves. For example, adding, subtracting, multiplying, and dividing fractions are all important skills to have. To add or subtract fractions, we need to find a common denominator. To multiply fractions, we simply multiply the numerators and denominators together. To divide fractions, we invert the second fraction and multiply the first fraction by the inverted second fraction.

In summary, knowing how to express decimals as fractions is an important skill in mathematics. To convert a decimal to a fraction, we can write it as a fraction with the decimal number as the numerator and 1 as the denominator, then simplify the fraction and reduce it to its lowest terms. With practice, you can become proficient in working with fractions and decimals, which can be useful in a wide range of academic and practical settings.

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