COMPLEX FRACTIONS

A complex fraction is a fraction where the numerator, denominator or both contain fraction.

Examples :

Solved Problems

Problems 1-5 : Evaluate.

Problem 1 :

Solution :

In the above complex fraction, change the division as multiplication, take reciprocal of the fraction in denominator and simplify.

Problem 2 :

Solution :

Problem 3 :

Solution :

Problem 4 :

Solution :

Problem 5 :

Solution :

Least common multiple of (2, 3) is 6 and that of (4, 6) is 12.

Problem 6 :

What number is halfway between - and ⅓ on a number line?

Solution :

To find a number which is half between two numbers on a number line, we have to find the average of the two numbers.

The number which is halfway between - and  on a number line :

Problem 7 :

Maya wants to divide a ¾ pound box of trail mix into small bags. Each bag will hold ¹⁄₁₂ pound of trail mix. How many bags of trail mix can Maya fill?

Solution :

Given : Each bag will hold ¹⁄₁₂ pound of trail mix.

Then, the number bags required to hold ¾ pounds of trail mix is

So, Maya can fill ¾ pound of trail mix in 9 bags.

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