Is 69/21 Greater Than 46/95?

Are you looking to calculate whether 69/21 is greater than 46/95? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 69/21 is bigger than 46/95 and walk you through the step-by-process of how the calculation is made.

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 69/21 is larger than 46/95:

• Convert the fractions to have the same denominator
• Convert the fractions to a decimal number

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 69/21 and 46/95 side by side so they are easier to see:

Converting Denominator

Our denominators are 21 and 95. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 21 and 95. In this case, the lowest common denominator is 1995.

If we multiply the first denominator (21) by 95 we will get 1995. If we multiply the second denominator (95) by 21 we will also get 1995. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

This is what 69/21 and 46/95 looks like with the same denominator:

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 6555 is greater than 966 which also means that 69/21 is greater than 46/95.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 3.2857 is greater than 0.4842 which also means that 69/21 is greater than 46/95.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

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