# multiplying fractions by integers

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There are different mathematical operations in math such as addition, subtraction and division. Multiplication is one of the arithmetic operations used in different branches of mathematics. Multiplication is denoted by a cross sign ×. Multiplication can be used between different types of numbers such as integers, fractions, decimals and many more. Integers are the positive and negative whole numbers on the number line. Fractions are numbers that can be expressed in the p/q form. Here p the numerator and q is the denominator of the fraction

Example 1: What is the answer when the integer 6 is multiplied to the fraction 5/4?
Solution: Here the given integer is 6 (positive number) and the fractions is 5/4.
Multiplying the integer to the given fraction gives: 6 x 5/4 = 30/4.
The GCF of the numerator and denominator (30 and 4) is 2.
Dividing the numerator and denominator by 2.
This gives (30 ÷ 2)/ (4 ÷ 2) = 15/2.
Hence the answer is 15/2.

Question: Multiple choice question (Pick the correct option.)
What is the answer when the integer -5 is multiplied to the fraction 3/10?
a)    -4/5                 b) -3/2             c) 3/2              d) None of these.
Correct answer: option b.
Here the integer is -5 (negative number) and the fractions is 3/10.
Multiplying the integer to the given fraction gives: -5 x 3/10 = -15/10.
The GCF of -15 and 10 is 5. Dividing the numerator and denominator by 5.
This gives (-15 ÷ 5)/ (10 ÷ 5) = -3/2.