How do fractions and decimals relate to each other?

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  • Fractions and decimals are two different ways to represent numbers, and they are closely related. Fractions represent a part of a whole, while decimals represent the same idea using a decimal point and place values.

    In a fraction, the numerator represents the number of parts we have, and the denominator represents the total number of equal parts in the whole. For example, in the fraction 3/4, we have 3 parts out of a total of 4 equal parts.

    Decimals, on the other hand, are based on the decimal system, which uses a decimal point to separate the whole number part from the fractional part. The fractional part is represented using place values that are powers of 10. For example, the decimal 0.75 represents 75 hundredths or 75/100.

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