5.13 Adding fractions with tenths and hundredths

Are you ready?

Let's review the relationship between tenths and hundredths.

Learn

Remember that the numerator of a fraction represents a number of parts, and the denominator represents the size of those parts. To add fractions together, we want to add parts that are the same size - that is, we want to add together fractions with the same denominator.

For example, the sum $\frac{3}{100}+\frac{12}{100}$3100​+12100​ represents "$3$3 hundredths plus another $12$12 hundredths", which is $15$15 hundredths in total. That is,

$\frac{3}{100}+\frac{12}{100}$3100​+12100​

$=$=

$\frac{15}{100}$15100​

 

We can use the relationship between tenths and hundredths to add together these types of fractions as well.

For example, the sum $\frac{2}{10}+\frac{7}{100}$210​+7100​ represents "$2$2 tenths plus $7$7 hundredths". Since we know that $2$2 tenths can also be written as $20$20 hundredths, this means we have "$20$20 hundredths plus another $7$7 hundredths", for a total of $27$27 hundredths. That is, 

$\frac{2}{10}+\frac{7}{100}$210​+7100​	$=$=	$\frac{20}{100}+\frac{7}{100}$20100​+7100​
	$=$=	$\frac{27}{100}$27100​

Apply

Question 1