How to Convert Mixed Fractions to Ratios

By Charlotte Johnson
Slices of pizza can be used to represent fractions or ratios.

Fractions and ratios go hand in hand in the world of mathematics because they both represent a relationship between two numbers. A mixed fraction consists of a whole number plus a fraction. You can convert a mixed fraction to a ratio by presenting the fraction in "improper" form. Creating the improper form is a process of performing a few simple mathematical calculations. One other difference between ratios and fractions is that the two numbers in a fraction are separated by a dash or a slash, whereas the numbers in a ratio also can be separated by a colon.

Multiply the whole number and the fraction's denominator (the bottom number). For example, if you have 1 3/4, you would multiply 4 times 1 to get 4.

Add the numerator (the top number) to the answer from Step 1. In this example, you would add 3 to 4 to get 7.

Place the answer from Step 2 over the denominator to create an improper fraction. In this case, you would write 7/4.

State your answer in ratio form. You can write the ratio in several different forms. Using this example, you could write "7/4," "7:4" or "7 to 4."

About the Author

Charlotte Johnson is a musician, teacher and writer with a master's degree in education. She has contributed to a variety of websites, specializing in health, education, the arts, home and garden, animals and parenting.