Question

Junior's brother is 1 1/2 meters tall. Junior is 1 2/5 of his brother's height. How tall is Junior? meters

Answer 1

To determine Junior's height you have to multiply Juniors height by multiplying 3/2 by 7/5his brother's height by 1 2/5.

To divide both fractions, first, you have to express the mixed numbers as improper fractions.

Brother's height: 1 1/2

-Divide the whole number by 1 to express it as a fraction and add 1/2

`1(1)/(2)=(1)/(1)\cdot(1)/(2)`

-Multiply the first fraction by 2 to express it using denominator 2, that way you will be able to add both fractions

`(1\cdot2)/(1\cdot2)+(1)/(2)=(2)/(2)+(1)/(2)=(2+1)/(2)=(3)/(2)`

Junior's fraction 1 2/5

-Divide the whole number by 1 to express it as a fraction and add 2/5

`1(2)/(5)=(1)/(1)+(2)/(5)`

-Multiply the first fraction by 5 to express it using the same denominator as 2/5, that way you will be able to add both fractions:

`(1\cdot5)/(1\cdot5)+(2)/(5)=(5)/(5)+(2)/(5)=(5+2)/(5)=(7)/(5)`

Now you can determine Junior's height by multiplying 3/2 by 7/5

`(3)/(2)\cdot(7)/(5)=(3\cdot7)/(2\cdot5)=(21)/(10)`

Junior's eight is 21/10 meters, you can express it as a mixed number:

`(21)/(10)=2(1)/(10)`