Adding Fractions and Decimals

Miss Nelson teaches fourth-grade students how to add fractions with tenths and hundredths by ensuring they have common denominators. She provides examples of adding fractions and transitions to adding decimals, including practical applications like calculating distances and money. The lesson emphasizes the importance of aligning decimals and converting between fractions and decimals for accurate addition.

What is the main topic of lesson 9.6?

• Dividing whole numbers

• Subtracting fractions

• Adding fractions with tenths and hundredths

• Multiplying decimals

Why can't fractions be added directly if they have different denominators?

• They need to be multiplied first

• They need to have the same denominator

• They need to be converted to decimals

• They need to be subtracted first

How can you convert a fraction with tenths to hundredths?

• Add a zero to the numerator

• Divide the fraction by 10

• Add a zero to both the numerator and denominator

• Multiply the fraction by 5

In the example problem, what is the first step to add 3/10 and 21/100?

• Add the numerators directly

• Convert 3/10 to an equivalent fraction with a denominator of 100

• Subtract 21/100 from 3/10

• Multiply both fractions by 10

What is an equivalent fraction?

• A fraction that is larger than another

• A fraction that represents the same value as another

• A fraction with a different denominator

• A fraction with a different numerator

What is the result of adding 3/10 and 21/100 after converting to equivalent fractions?

• 31/100

• 24/100

• 51/100

• 13/100

What is the first step in adding decimals?

• Subtract the smaller from the larger

• Multiply them by 10

• Align the decimal points

• Convert them to fractions

How far does Shawn walk in total if he walks 0.5 miles to the store and 0.25 miles to his grandmother's house?

• 1 mile

• 0.25 miles

• 0.5 miles

• 0.75 miles

What is the advantage of converting decimals to fractions before adding?

• It is required for all decimal operations

• It helps in understanding the value better

• It makes the process faster

• It is the only way to add decimals

How do you add 0.25 and 0.40?

• Multiply them by 10

• Subtract 0.25 from 0.40

• Align the decimal points and add

• Convert them to fractions first