Question

Write the fraction or mixed number as a decimal. Round to the nearest thousandth if necessary. 39 46/51

Answer 1

Given the mixed number:

`\text{ 39 46/51}`

To be able to determine its decimal equivalent, let's first transform the mixed number into an improper fraction.

We get,

`39(46)/(51)\text{ = }\frac{46\text{ + (39 x 51)}}{51}\text{ = }\frac{46\text{ + 1,989}}{51}`
`\text{ = }(2,035)/(51)`

Determining the decimal equivalent, we divide 2,035 by 51.

Therefore, the decimal equivalent of 39 46/51 is 39.901.