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

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

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