J1 3/4 Jocelyn is currently 1 3/4 feet taller that 2/3 her brother's height. If jocelyn is 4 1/2 feet tall then how tall is her brother jesse? How much taller is Jocelyn
what does J1 3/4 mean at the beginning?
it is a typo the problem starts at the word Jocelyn
To solve this problem, you need to find Jesse's height.
Given that Jocelyn is 1 3/4 feet taller than 2/3 of her brother's height, we can set up an equation:
1 3/4 = (2/3) * Jesse's height
First, let's convert all the mixed numbers to improper fractions:
1 3/4 = (4/4 + 3/4) = 7/4
So, the equation becomes:
7/4 = (2/3) * Jesse's height
To isolate Jesse's height, we need to divide both sides of the equation by (2/3):
(7/4) / (2/3) = Jesse's height
When dividing fractions, you need to multiply by the reciprocal of the second fraction. So, the equation simplifies to:
(7/4) * (3/2) = Jesse's height
Multiplying across, we get:
(7 * 3) / (4 * 2) = Jesse's height
21/8 = Jesse's height
Now, we know that Jocelyn is 4 1/2 feet tall. To find out how much taller Jocelyn is than Jesse, we subtract Jesse's height from Jocelyn's height:
Jocelyn's height - Jesse's height = Difference in height
Plugging in the given values, we get:
4 1/2 - 21/8 = Difference in height
To subtract mixed numbers, we first need to convert them to improper fractions:
4 1/2 = (8/2 + 1/2) = 9/2
So the equation becomes:
9/2 - 21/8 = Difference in height
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 8. So we need to convert both fractions accordingly:
(9/2) * (4/4) - (21/8) = Difference in height
Simplifying, we get:
(36/8) - (21/8) = Difference in height
Subtracting the numerators, we get:
(36 - 21) / 8 = Difference in height
15/8 = Difference in height
So, Jocelyn is 15/8 feet taller than her brother Jesse.
To convert the fraction to a mixed number, we divide the numerator (15) by the denominator (8):
15 ÷ 8 = 1 remainder 7
Therefore, Jocelyn is 1 7/8 feet taller than Jesse.
In conclusion, Jesse's height is 21/8 feet, and Jocelyn is 1 7/8 feet taller than Jesse.