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.

• Mixed Number: A whole number combined with a fraction, representing a sum of the two.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.