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Lesson 9.3NameEquivalent Fractions and DecimalsNumber and Operations Fractions4.NF. C.5 Also 4.NF. C.6 MATHEMATICAL PRACTICES MP2, MP4, MP6, MP8Essential Question How can you record tenths and hundredths
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How to fill out equivalent fractions and decimals

How to fill out equivalent fractions and decimals:
01
First, identify the fraction that needs to be converted into an equivalent decimal. For example, let's say we have the fraction 3/4.
02
To convert a fraction into a decimal, divide the numerator (the top number) by the denominator (the bottom number). In our example, we divide 3 by 4. The result is 0.75.
03
So, the equivalent decimal for the fraction 3/4 is 0.75.
04
If you need to convert a decimal into an equivalent fraction, follow these steps:
4.1
Write down the decimal as a fraction with the decimal portion as the numerator and a power of 10 as the denominator. For example, let's say we have the decimal 0.625. We write it as 625/1000.
4.2
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. In our example, the greatest common divisor of 625 and 1000 is 125. So, we divide both 625 and 1000 by 125. The simplified fraction is 5/8.
4.3
Therefore, the equivalent fraction for the decimal 0.625 is 5/8.
Who needs equivalent fractions and decimals:
01
Students studying mathematics: Equivalent fractions and decimals are an essential concept in mathematics. Students need to understand how to convert between fractions and decimals for various mathematical operations and problem-solving.
02
Professionals working with fractions and decimals: Certain professions, such as engineering, finance, or statistics, involve working extensively with fractions and decimals. Being able to convert between the two helps in performing calculations accurately and efficiently.
03
Everyday life situations: Understanding equivalent fractions and decimals can be useful in everyday life situations. For example, when comparing prices of items, calculating measurements, or understanding percentages, having knowledge of equivalent fractions and decimals can be beneficial.
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What is equivalent fractions and decimals?
Equivalent fractions and decimals are different ways to represent the same value.
Who is required to file equivalent fractions and decimals?
Anyone working with fractions and decimals may need to understand and use equivalent fractions and decimals.
How to fill out equivalent fractions and decimals?
To fill out equivalent fractions and decimals, you can find common denominators for fractions or convert fractions to decimals and compare them.
What is the purpose of equivalent fractions and decimals?
The purpose of equivalent fractions and decimals is to make calculations and comparisons easier by expressing values in different forms.
What information must be reported on equivalent fractions and decimals?
The information reported on equivalent fractions and decimals includes the original fractions, the equivalent fractions, and the original decimal values.
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