5 13/16 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (the number on the top), here 13 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. A mixed number like 5 13/16 combines a whole number and a fraction. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 5 13/16 as a decimal?

$5 13/16 as a decimal$

Answer

5 13/16 in decimals can be written as 5.8125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 5 13/16 in decimal, we will first convert the fraction 13/16 into a decimal using the division method.

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: Divide 13 by 16. Since 13 is smaller than 16, we add a decimal point and a zero to the dividend, making it 130.

Step 3: Divide 130 by 16, which goes 8 times (16 × 8 = 128). Write 8 in the quotient place.

Step 4: Subtract 128 from 130, which gives 2.

Step 5: Bring down another 0 making it 20. Divide 20 by 16, which goes 1 time (16 × 1 = 16). Write 1 in the quotient place.

Step 6: Subtract 16 from 20, giving 4. Bring down another 0, making it 40.

Step 7: Divide 40 by 16, which goes 2 times (16 × 2 = 32). Write 2 in the quotient place.

Step 8: Subtract 32 from 40, giving 8. Bring down another 0, making it 80.

Step 9: Divide 80 by 16, which goes 5 times (16 × 5 = 80). Write 5 in the quotient place. The division process ends with a remainder of 0. Therefore, 13/16 as a decimal is 0.8125.

Finally, add the whole number 5 to get 5.8125.