Mathematics
Grade 5
15 min
Convert fractions to decimals
Convert fractions to decimals
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1
Introduction & Learning Objectives
Learning Objectives
Define fractions and decimals as different ways to represent parts of a whole.
Identify fractions with denominators of 10, 100, and 1000.
Convert fractions with denominators of 10, 100, or 1000 directly to decimals.
Use equivalent fractions to convert fractions with other denominators (like 2, 4, 5) into decimals.
Explain the relationship between fraction notation and decimal place value (tenths, hundredths).
Solve simple real-world problems by converting fractions to decimals.
Ever wonder how a recipe calling for 'half a cup' relates to the '0.5' on a measuring scale? 🧐 They both mean the same amount!
In this lesson, you'll discover how to change fractions into decimals, making it easier to compare numbers, understand measureme...
2
Key Concepts & Vocabulary
TermDefinitionExample
FractionA number that represents a part of a whole. It is written as one number over another, separated by a line (e.g., 1/2).In the fraction 3/4, '3' is the part we have, and '4' is the total number of equal parts.
DecimalA way to write numbers that are not whole, using a decimal point to separate the whole number part from the fractional part.0.5 is a decimal that represents half of something. The '5' is in the tenths place.
NumeratorThe top number in a fraction, which tells you how many parts of the whole you have.In 2/3, the numerator is 2.
DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole is divided into.In 2/3, the denominator is 3.
Decimal PointA dot that separates the whole numb...
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Core Formulas
Direct Conversion for Denominators of 10, 100, 1000
For fractions with denominators of 10, 100, or 1000, the number of zeros in the denominator tells you the number of decimal places. The numerator becomes the digits after the decimal point.
$\frac{N}{10} = 0.N$
$\frac{N}{100} = 0.0N$ (if N is a single digit)
$\frac{N}{100} = 0.NN$ (if N is a double digit)
This rule is used when your fraction already has a denominator that is a power of ten. Simply write the numerator after the decimal point, adding leading zeros if needed to match the number of decimal places (which is equal to the number of zeros in the denominator).
Equivalent Fractions Method
To convert a fraction $\frac{a}{b}$ to a decimal, first find a number $k$ such that $b \times k$ equals 10, 100, or 1000. Then, m...
5 more steps in this tutorial
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Challenging
A cookie recipe requires 3/4 cup of chocolate chips. Your measuring cup is only marked with decimals. How many cups of chocolate chips do you need?
A.0.25 cups
B.0.75 cups
C.0.34 cups
D.1.33 cups
Challenging
A bag contains red, blue, and green marbles. 2/5 of the marbles are red and 1/4 are blue. What decimal represents the fraction of marbles that are green?
A.0.35
B.0.65
C.0.45
D.0.30
Challenging
Why does dividing the numerator by the denominator work to convert a fraction to a decimal?
A.It's a shortcut that only works for denominators of 10 or 100.
B.Because division is the opposite of multiplication.
C.Because decimals are always smaller than fractions.
D.Because the fraction bar represents division, and a decimal is another way to write the result of that division.
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