Complex Fractions
Simplify.
A complex fraction is a fraction that contains one or more fractions in the numerator or denominator.
To simplify this complex fraction, we take the denominator (2/3) and turn it into its reciprocal (3/2), then multiply it with the numerator (3/5).
3/5 x 3/2 = 9/10
Answer: 9/10
You notice complex fractions are like another way of dividing fractions. We usually use a division sign, but complex fractions are dividing fractions or mixed numbers with a division bar instead of a division sign.
Simplify.
To simplify this complex fraction, we take the denominator (100) and turn it into its reciprocal (1/100), then make the numerator (25 2/3) into an improper fraction (77/3) and multiply them.
77/3 x 1/100 = 77/300
Answer: 77/300
Simplify.
To simplify this complex fraction, we take the denominator (7 1/3) and turn it into an improper fraction (22/3) and make it into it's reciprocal (3/22), then make the numerator (15) into a fraction (15/1) and multiply them.
15/1 x 3/22 = 45/22 divided by 22 = 2 1/22
Answer: 2 1/22
Make 83 1/3 percent into a fraction and simplify.
A percent is a fraction that has the denominator of 100. So, we turn 83 1/3 percent into
To simplify this complex fraction, we take the denominator (100) and turn it into its reciprocal (1/100) then make the numerator (83 1/3) into an improper fraction (250/3) and multiply them.
250/3 x 1/100 = 250/300
Reduced: 5/6
Answer: 5/6
