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Fractions : Short Question

A fraction represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction 3/4 , 3 is the numerator, and 4 is the denominator.

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 8/12, find the GCD of 8 and 12, which is 4, and divide both by 4 to get 2/3.

To compare fractions you can either convert them to have a common denominator or convert them to decimal form. For example, to compare 1/3 and 2/5, you can find a common denominator (15) and convert them to 5/15 and 6/15, respectively. Then, compare the numerators.

To find equivalent fractions, multiply or divide both the numerator and the denominator by the same number. For example, 1/2 is equivalent to 2/4 because 1×2=2 and 2×2=4.

To determine which fraction is larger, you can compare their decimal forms or use cross-multiplication. For example, to compare 3/4 and 2/3, convert them to decimals (0.75 and 0.6667, respectively) or cross-multiply to see that 3×3=9 and 4×2=8, so 3/4 is larger.

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