Question

What is the difference between 2 1/4 and 6/4 ?

Answer 1

Given the expression:

`\text{ }2\text{ }(1)/(4)\text{ - }(6)/(4)`

Under the rule of subtracting fractions, we must first transform the mixed number into an improper fraction.

We get,

`\text{ 2}(1)/(4)\text{ = }\frac{1\text{ + (2 x 4)}}{4}\text{ = }\frac{1\text{ + 8}}{4}\text{ = }(9)/(4)`

Let's now proceed with the subtraction:

`\text{ }2\text{ }(1)/(4)\text{ - }(6)/(4)\text{ = }(9)/(4)-(6)/(4)`
`\text{ = }\frac{9\text{ - 6}}{4}`
`\text{ = }(3)/(4)`

Therefore, the difference between 2 1/4 and 6/4 is 3/4.