1 7/16 as a decimal

Question

write the rational number as a decimal

Answer 1

1 7/16 as a decimal is 1.4375

one solution is to divide 16 into 7.0000 to get .4375

another solution is the following...

7/16=7/(2*2*2*2)=(7*5*5*5*5)/(2*2*2*2*5*5*5*5)=4375/10,000=0.4375

put the whole number 1 with the decimal part to get 1.4375

Answer 2

Hi Haley.  I want to make sure I'm seeing your question correctly.  1 7/16 which is the same as 1+7/16.

 

There are 2 simple ways to approach this.

 

Approach #1

 

Convert to an improper fraction.  1 is the same as 16/16.  So your improper fraction would come from 16/16+7/16.  That gives us 23/16.  Divide 23 by 16 to get 1.4375

 

Approach #2

 

1+7/16 is the same as 1 + (7 divided by 16) or 1+.4375 or 1.4375

 

 

Answer 3

1 7/16 is a mixed number that is a number between 1 and 2.    1 is the whole number.  7/16 is a fraction that is added to a whole number.  So we convert the fraction part to a decimal.  Convert to decimal using long division.  Divide 7 by 16.

 

 

       0. 4  3 7  5

     ___________

16 | 7 . 0                       add a zero to the dividend each time you divide.

       6   4

     ______

            6 0

            4 8

            ____

             1 2 0

             1 1 2

            _______

                   8 0

                   8 0

                 ____

                      0

 

Remainder is zero.  This means the division process ends here.

 

7 / 16 = 0.4375

 

 

So

 

1 7/16 = 1.4375

Answer 4

The answer is 1.4375.

 

For right now, let's leave out the 1.

 

Think of it this way: 16/16 is the same as a whole or 1, because it is 7/16 the answer should be less than 1. In fact, 7/16 is roughly 0.5 because 8/16 is one half or 0.5 as a decimal. 7/16 is the same as 7÷16 which is 0.4375

 

Now, remembering that the fraction was 1 7/16, both the 1 and 7/16 as a fraction should be added together [1 7/16= 1+ (7/16)]. Adding both parts together, the answer is therefore 1.4375

 

Answer 5

17/16 written as a decimal is 16  divided into 17=1.06, however 1 7/16 is 7/16 +1=1.4375

Answer 6

For now work with the fraction

 

7/16 = 0.04375 

 

Now for the integer

 

1 7/16 = 1 + 0.04375

1 7/16 = 1.04375