back to Pre-Algebra

Multiplying fraction by Mixed Number

Example:

Solution:

Step 1: Write the mixed number as a fraction.

Step 2: Multiply two fractions.

Note:

Whenever multiply two or more fractions, first step is to check if there are common factors. Look the example above, the numerator of the first fraction is 2, the denorminator of the second fraction is 12, then the common factor of 2 and 12 is 2, so both of numerator and denominator should divide by the common factor 2. The denominator of the first fraction is 5, the numerator of the second fraction is 15, then the common factor of 5 and 15 is 5, then both of the numerator and denorninator should divide by the common factor 5. Note the fraction 3/6 has a common factor 3, so both numerator and denominator should divide by the common factor 3 to get the result of 1/2 which is the simplest form.

Simplify fractions:

Simplify fractions in which dividing numerators and denominators by common factors until the fraction is the simplest form.