A complex fraction is a fraction where the numerator, denominator or both contain fraction.
Examples :
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 -⅚ 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 -⅚ and ⅓ 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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