Multiply whole number with rational number

Rational numbers A rational number is a number that can be expressed in the form where p and q are integers and q ≠ 0. Numerator Denominator For example are rational numbers NOTE: A rational number is said to be in standard form if its denominator is positive and the numerator and denominator have no common factor other than 1. If a rational number is not in the standard form, then it can be reduced to the standard form.

Rules for Multiplication of integers The product of two positive integers is a positive integer The product of two negative integers is a positive integer The product of a positive integer and negative integer is a negative integer + X = -

Multiply – Cross simplification Multiplying fractions is easy Multiple the numerators Multiple the denominators Cross simplification This isn’t necessary, but it can make the numbers smaller and keep you from simplifying at the end. -1 In this example, -5 and 10 can both be divided by 5, 3 and 9 can both be divided by 3 even though they are not in the same fraction. 3 2

Answer: -4 Example 1: Multiply Solution: Step 1: Remember: We can multiply fraction by fraction Fractional form of -4 Whole number Fraction Step 2: Lets use cross multiplication method to simplify the fractions before multiplying them -1 Dividing 4 ,16 by 4 we get 4 (-) x (-) = + (+) x (+) = + Step 3: Fractions cannot be simplified further, multiply the fractions Answer:

Answer: 6 Example 2: Multiply Solution: Step 1: Remember: We can multiply fraction by fraction Fractional form of 6 Whole number Fraction Step 2: Lets use cross multiplication method to simplify the fractions before multiplying them 1 Dividing 6 and 12 by 6 we get 2 (+) x (-) = - (+) x (+) = + Step 3: Fractions cannot be simplified further, multiply the fractions Answer:

Answer: -3 10 Example 3: Multiply Solution: Step 1: Remember: We can multiply fraction by fraction Fractional form of 10 Whole number Fraction 1 Step 2: Lets use cross multiplication method to simplify the fractions before multiplying them Dividing 10 and 10 by 10 we get 1 Step 3: Fractions cannot be simplified further, multiply the fractions (-) x (+) = - (+) x (+) = + Answer: -3

Answer: -10 28 Example 4: Multiply Solution: Step 1: Remember: We can multiply fraction by fraction Fractional form of 28 Whole number Fraction 2 Step 2: Lets use cross multiplication method to simplify the fractions before multiplying them Dividing 28 and 14 by 14 we get 1 (-) x (+) = - (+) x (+) = + Step 3: Fractions cannot be simplified further, multiply the fractions Answer: -10

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