Question

How to change 35/21 into its mixed fraction

Answer 1

`1(2)/(3)`

Explanation:

INFORMATION/REMINDS ALREADY KNOWN:

• Numerator. This is the number above the fraction line. For 35/21, the numerator is 35.

• Denominator. This is the number below the fraction line. For 35/21, the denominator is 21.

• Improper fraction. This is a fraction where the numerator is greater than the denominator.

• Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Step 1: Find the whole number

We need to find the whole number first, which we accomplish by dividing the numerator by the denominator. We ignore any digits to the right of the decimal point since we are only interested in whole numbers.

`35/21= 1.6666666666667 = 1`

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

We'll use the whole number we calculated in step one (1) and multiply it by the original denominator to figure this out (21). The numerator is then subtracted from the result of that multiplication:

`35 - (21 * 1) = 14`

Step 3: Our mixed fraction

We've now simplified 35/21 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

`1(14)/(21)`

Step 4: Simplifying our fraction

Our fraction (14/21) can be simplified even more in this example. To do so, we must determine the GCF (greatest common factor) of those two numbers. If you want to do it yourself, you can use our handy GCF calculator. We've done it earlier, and the GCF of 14 and 21 equals 7.

We can now divide both the new numerator and the denominator by 7 to simplify this fraction down to its lowest terms.

`(14)/(7) = 2\\(21)/(7) = 3`

When we put that together, we can see that our complete answer is:\

`1(2)/(3)`