Converting Decimals and Fractions

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Converting Decimals and Fractions
CCSS.MATH.CONTENT.4.NF.C.6

Basics on the topic Converting Decimals and Fractions

Content

Axel and Tank are on a walk when they see the Tricky Troll. The Tricky Troll asks for their help with converting fractions and decimals in exchange for some tickets to a big show! Let’s help with converting fractions to decimals and converting decimals to fractions so they can unlock the tickets!

Decimal Numbers and Decimal Fractions

A decimal number represents a part of a whole, like a fraction, but shows it slightly differently. A decimal fraction is a fraction with a denominator that is a power of ten, such as ten or one hundred. Next, let’s take a look at how to convert decimals to fractions.

How do I Convert a Decimal to a Fraction?

When converting decimals, ask yourself, “What is the place value of the last digit?”. If it is a tenth decimal place, then the denominator is ten. The numerator represents how many equal parts of a whole we have, which is the number you see in the tenth place in decimal. What is the tenth place in a decimal? Remember the tenths place is the first place value to the right of the decimal point. Let’s look at a tenth place decimal to try some converting decimals to fractions practice.

Below, we see one tenth as a decimal. In order to change or convert it into a fraction ask yourself, “What is the place value of the last digit?”. If it is a tenth decimal place, then the denominator is ten. The numerator represents how many equal parts of a whole we have, which is the number you see in the tenth place in decimal. 1 tenth as a decimal is equal to 1 tenth as a fraction. That means when converting tenths to decimals, the numerator one is in the tenths place.

zero-point-one-equals-one-tenth-tenth-decimal-hundredth-decimal.svg

How do I Convert a Fraction to a Decimal?

When converting fractions, ask yourself, “What is the place value represented in the denominator?”. If it is a hundredth decimal place, then the denominator is one hundred. The numerator represents how many equal parts of a whole we have, which is the number you see in the hundredth decimal. What is the hundredth place in a decimal? Remember the hundredth place is the second place value to the right of the decimal point. Let’s look at the hundredth decimal place to try converting a fraction to a decimal.

Below, we see one hundredth as a decimal. In order to change or convert it into a fraction ask yourself,“What is the place value represented in the denominator?”. If it is a hundredth decimal place, then the denominator is one hundred. The numerator represents how many equal parts of a whole we have, which is the number you see in the hundredth decimal place. One hundredth as a fraction is equal to one hundredth as a decimal.

zero-point-zero-one-equals-one-hundredth-tenth-decimal-hundredth-decimal.svg

Summary

When converting decimals, ask yourself, “What is the place value of the last digit?”. If it is a tenth decimal place, then the denominator is ten. The numerator represents how many equal parts of a whole we have, which is the number you see in the tenth place in decimal. When converting fractions, ask yourself, “What is the place value represented in the denominator?”. If it is a hundredth decimal place, then the denominator is one hundred. The numerator represents how many equal parts of a whole we have, which is the number you see in the hundredth decimal place.

Want some more converting fractions to decimals and converting decimals to fractions practice? You can find examples along with a converting fractions to decimals worksheet and a converting decimals to fractions worksheet on this website.

Transcript Converting Decimals and Fractions

"And then my Mom was like, 'don't forget your turtleneck!', can you believe that!?" "Hi, can I help you?" "I need some help converting decimals and fractions to unlock these tickets for the big show tonight... if you help me, I'll give them to you." Let's help the Tricky Troll by... Converting Decimals and Fractions. A decimal number represents a part of a whole, like a fraction, but shows it slightly differently. We can convert, or change, decimal numbers into decimal fractions. A decimal fraction is a fraction with a denominator that is a power of ten, such as ten or one hundred. Here is the decimal number eight tenths represented using a base ten block. When converting decimal numbers into decimal fractions ask yourself: (...) What is the place value of the last digit? (...) Using a place value chart, we see the eight is in the TENTHS place... so the denominator is ten. The numerator, represents how many equal parts of a whole we have, which in this case is eight. Now that we have eight tenths in decimal notation AND fraction notation... what do you notice about them? (...) They are EQUIVALENT because they both represent eight parts of one whole... and we say eight-tenths for the fraction and the decimal! Now let's help the Tricky Troll by converting the decimal number thirty-five hundredths. When converting a decimal number into decimal fractions ask yourself: What is the place value of the last digit? (...) Using a place value chart, we see that the five is in the HUNDREDTHS place... so the denominator is one hundred. What is the numerator? (...) Thirty-five, since we have thirty-five parts of one whole. Thirty-five hundredths written as a decimal fraction is thirty-five OVER one hundred or "thirty-five hundredths". Last, we have the decimal fraction nine hundredths. This time, we are converting a decimal fraction into a decimal number. How can we convert this to a decimal number? (...) Since the denominator is one hundred, we know it is representing the HUNDREDTHS place value. How many hundredths do we have? (...) The numerator is nine, so write nine hundredths HERE in the place value chart. How many tenths do we have? (...) We don't have any tenths (...) so we write a zero in the TENTHS place. How many wholes do we have? (...) We don't any wholes so we write a zero in the ONES place. Nine hundredths written as a decimal number is zero POINT zero nine or "nine hundredths". We've converted all the decimals and fractions! While they get ready for the show, let's summarize. Remember (...) we can convert decimal fractions into decimal numbers and decimal numbers into decimal fractions. When converting decimal numbers into decimal fractions ask yourself... What is the place value of the last digit? The last place value is your denominator and... the numerator represents how many equal parts of a whole we have. When converting decimal fractions into decimal numbers... The denominator represents the place value and... the numerator represents how many equal parts of a whole we have. "I love Blue Troll Group!" "This is TURTALLY awesome!"