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Converting Mixed Numbers to Improper Fractions Multiply the whole number by the denominator. Add this to the numerator. Write the new fraction using the original denominator and new numerator. Converting Improper Fractions to Mixed Numbers Divide the numerator by the denominator. The remainder becomes the numerator and the denominator remains the same. 42 ÷ 5 = 8 with a remainder of 2 Rule for Multiplication of Fractions When multiplying fractions, you simply multiply the numerators together and then multiply the denominators together. Simplify the result. The fraction 3/14 cannot be simplified any further; it is in its simplest form. Rule for Division of Fractions When you divide two fractions, you take the reciprocal of the second fraction and then multiply. (Taking the reciprocal of a fraction means to flip it over.) 1 3 1 7 7 1 = = =1 2 7 23 6 6 1 The fraction 7/6 is improper so we change it to the mixed number 1 . 6