Question

An adult’s body has 206 bones. Of these, 106 are in the feet, ankle, wrists, and hands. What fraction of an adult’s bones are in the feet, ankles, wrists, and hands? Write the fraction in simplest form.

Answer 1

Hey. Let me help you on this question.

In order for us to solve this question, we might need to look into it more in depth, and sort the information. It will help us organize our thoughts.

Adult's body has 206 bones. 106 are located in the feet, ankles, wrists, and hands. Let's form a ratio that we can later simplify.

$\frac{106}{206}$

As you can see, we have 106 bones that are located in the feet, ankles, wrists, and hands over the total amount of bones in the adult's body.

Question asks us to give ratio's simplest form, and in order for us to simplify it, we need to find the greatest common divisor, or GCD for short. GCD is largest integer number that divides the given numbers.

In order for us to find it, we need to find a number that we can multiply the given numbers with in order to make them equal. 

106 can be multiplied by two to make 206, and this is the highest number we can multiply it by in order to get both equivalent numbers.

Our next step is to divide both of these numbers by two, and plug them in the ratio.

$\frac{106}{206} /2= \frac{53}{103}$

Done. We have reached the simplest form of this ratio, and dividing it further will not grant us a simpler form.

Answer: $\frac{53}{103}$ is the ratio between 106 bones found in the feet, ankles, wrists and hands over 206 amount of total bones found in the body.