Equivalent relationships among fractions, decimals, and percents may be determined by using concrete materials and pictorial representations (e.g., fraction bars, base ten blocks, fraction circles, colored counters, cubes, decimal squares, shaded figures, shaded grids, number lines and calculators).
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Some fractions can be rewritten as equivalent fractions with denominators of powers of 10, and can be represented as decimals or percents (e.g., 3/5 = 6/10 = 60/100 = 0.60 = 60%). Fractions, decimals, and percents can be represented by using an area model, a set model, or a measurement model.
Identify the decimal and percent equivalents for numbers written in fraction form including repeating decimals.
Rational numbers may be expressed as whole numbers, integers, fractions, percents, and numbers written in scientific notation.
Real numbers can be represented as integers, fractions (proper or improper), decimals, percents, numbers written in scientific notation, radicals, and 𝜋. It is often useful to convert numbers to be compared and/or ordered to one representation (e.g., fractions, decimals or percents).
A fraction can be expressed in simplest form (simplest equivalent fraction) by dividing the numerator and denominator by their greatest common factor.