Question

Using long division to convert 2 7/16 to a decimal

Answer 1

To convert 2 7/16 to a decimal using long division, we can set up the problem as follows:

First, we write 2 as a fraction with a denominator of 1:
2 = 2/1

Next, we add the fraction 7/16 to 2/1:
2/1 + 7/16

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 1 and 16 is 16. We need to find a fraction equivalent to 2/1 that also has a denominator of 16. To do this, we multiply both the numerator and denominator of 2/1 by 16:
(2/1) * (16/16) = 32/16

So, the equation becomes:
32/16 + 7/16

Now, we can add the fractions by adding the numerators together and keeping the denominator the same:
(32 + 7)/16 = 39/16

Finally, we can convert 39/16 to a decimal by dividing the numerator by the denominator:
39 ÷ 16 = 2.4375

Therefore, 2 7/16 as a decimal is 2.4375.