13/8 as a Decimal

Answer

13/8 in decimals can be written as 1.625. It is a terminating decimal.

Explanation

To get 13/8 in decimal, we will use the division method. Here, since 13 is larger than 8, we can divide directly without needing to use decimals initially. Let's go through the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 13 by 8. Determine how many times 8 goes into 13.

Step 3: 8 goes into 13 once (8 × 1 = 8), so write 1 in the quotient place. Subtract 8 from 13 to get 5.

Step 4: Bring down a zero to make 5 as 50, then divide by 8.

Step 5: 8 goes into 50 six times (8 × 6 = 48). Write 6 in the quotient place, subtract 48 from 50 to get 2.

Step 6: Bring down another zero to make 2 as 20, then divide by 8.

Step 7: 8 goes into 20 two times (8 × 2 = 16). Write 2 in the quotient place, subtract 16 from 20 to get 4.

Step 8: Bring down another zero to make 4 as 40, then divide by 8.

Step 9: 8 goes into 40 five times (8 × 5 = 40). Write 5 in the quotient place, subtract 40 from 40 to get 0. The division process ends here as the remainder is 0. The answer for 13/8 as a decimal is 1.625.

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

• Decimal: A number that uses 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 the whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.