Question

Joanne has \[\dfrac{9}{{10}}\] yard of fabric that she wants to divide into 3 equal pieces. How long should each piece be?

Answer 1

Hint: Here we have a simple problem, First we need to convert the given word problem into an algebraic expression and then we simplify the equation to get the result. Here means addition that we use the \[ \div \] operator.

Complete step by step solution:
Given,
Joanne has \[\dfrac{9}{{10}}\] yard of fabric that she wants to divide into 3 equal pieces
All we need to do is, we divide \[\dfrac{9}{{10}}\] by 3.
That is,
 \[ \Rightarrow \dfrac{9}{{10}} \div 3\]
 \[ \Rightarrow \dfrac{9}{{10}} \div \dfrac{3}{1}\]
Then we have,
 \[ \Rightarrow \dfrac{9}{{10 \times 3}}\]
 \[ \Rightarrow \dfrac{3}{{10}}\] yard. This is the required answer.
So, the correct answer is “$\dfrac{3}{{10}}$”.

Note: Algebra helps in converting a mathematical statement into an equation. We know if we have ‘more’ or ‘sum’ in the given sentence we use addition operation \[( + )\] . Similarly If we have ‘less’ or ‘difference’ we use subtraction \[( - )\] . If we have a ‘quotient’ we use division operation \[( \div )\] . To define more generalized terms; we use algebra. It is a very vast branch of mathematics and is used in all the branches of mathematics like polynomial, linear equations, graphs, etc. and in daily life too.