Question

A second grade student is 4 feet tall and her teacher is 5 and 2/3 feet.
What fraction of the teacher's height is the student's height?

Answer 1

Given

• The height of the student is given as 4 feet.
• The height of the teacher is given as 5 and 2/3 feet.

Solution

First, convert the Teacher's height to an Improper Fraction

• 5 and 2/3
• 5 times 3 = 15
• 15 + 2 = 17, then copy denominator
• 17/3

Calculate the Fraction of the Teacher's Height

• 4 divide 17/3
• when division, the right side should be reciprocal
• So, 4 x 3/17

Simplify

• 4 x 3/17
• 4 x 3 = 12 ; 1 x 17 = 17
• 12/17

Answer

The student's height is 12/17 of the teacher's height.