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Converting Between Fractions and Decimals - Fractions To Decimals - Decimals To Fractions

Fractions and decimals are two formats for representing non-whole numbers, with fractions using a numerator and denominator, and decimals using a decimal point. They can be converted into one another through division or determining place value, and both represent the same numerical value. Understanding these concepts is important for mathematical operations and practical applications like currency conversions.

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15 views1 page

Converting Between Fractions and Decimals - Fractions To Decimals - Decimals To Fractions

Fractions and decimals are two formats for representing non-whole numbers, with fractions using a numerator and denominator, and decimals using a decimal point. They can be converted into one another through division or determining place value, and both represent the same numerical value. Understanding these concepts is important for mathematical operations and practical applications like currency conversions.

Uploaded by

EMMILYN ABIERA
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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FRACTIONS and DECIMALS

Fractions and decimals are both ways to represent numbers that are not whole numbers. A fraction
expresses a part of a whole using a numerator (top number) and a denominator (bottom number), while a
decimal uses a decimal point to separate the whole number part from the fractional part. They represent
the same value but in different formats.

Fractions:

 A fraction like 1/2 represents one out of two equal parts of a whole.

 The top number (numerator) indicates the number of parts you have, and the bottom number
(denominator) indicates the total number of parts the whole is divided into.

 Fractions can be proper (numerator smaller than denominator), improper (numerator larger than
denominator), or mixed numbers (whole number and a proper fraction).
Decimals:

 A decimal like 0.5 also represents one half.

 The digit to the right of the decimal point represents tenths, hundredths, thousandths, and so on.

 Decimals are based on powers of 10, making them convenient for calculations, especially with the metric
system.
Converting Between Fractions and Decimals:

 To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 is 1 divided
by 4, which equals 0.25.

 To convert a decimal to a fraction, you need to determine the place value of the last digit (tenths,
hundredths, etc.) and write it as a fraction with that denominator. Then, simplify the fraction if
possible. For example, 0.75 can be written as 75/100, which simplifies to 3/4.
Relationship:

 Fractions and decimals are different ways of expressing the same numerical value.

 For example, 1/2, 0.5, and 50% all represent the same quantity.

 Understanding both fractions and decimals is essential for various mathematical operations and real-
world applications, like currency conversions.

FOR DETAILS visit the link : Converting Between Fractions and Decimals | Fractions to Decimals |
Decimals to Fractions

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