Question

What is the best estimate for this sum1/4+2/7=

Answer 1

Let's determine the sum of the following:

`\text{ }\frac{\text{ 1}}{\text{ 4}}\text{ + }\frac{\text{ 2}}{\text{ 7}}`

Step 1: Make the two fractions into similar fractions.

The LCM of 4 and 7 is 28, thus, let's convert each fraction into one with a denominator of 28.

We get,

`\text{ }\frac{\text{ 1}}{\text{ 4}}\text{ = }\frac{\text{ 1 x }7}{\text{ 28}}\text{ = }(7)/(28)`
`\text{ }\frac{\text{ 2}}{\text{ 7}}\text{ = }\frac{\text{ 2 x 4}}{\text{ 28}}\text{ = }\frac{\text{ 8}}{\text{ 28}}`

Step 2: Add the fractions.

`\text{ }\frac{\text{ 1}}{\text{ 4}}\text{ + }\frac{\text{ 2}}{\text{ 7}}`
`\text{ }(7)/(28)\text{ + }(8)/(28)\text{ = }(15)/(28)`

Therefore, the answer is 15/28.