21/32 as a Decimal

Answer

21/32 in decimal form can be written as 0.65625.

Explanation

To convert 21/32 into a decimal, we will use the division method. Since 21 is smaller than 32, we will use the decimal method to perform the division:

Step 1: Identify the numerator and denominator because the numerator (21) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: As 21 is smaller than 32, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, which makes it 210, and add a decimal point in the quotient place.

Step 3: Now, divide 210 by 32. Determine how many times 32 fits into 210.

Step 4: 32 goes into 210 six times (32 × 6 = 192). Write 6 in the quotient and subtract 192 from 210, which gives 18.

Step 5: Bring down another 0 to make it 180, and repeat the division process.

Step 6: 32 goes into 180 five times (32 × 5 = 160). Write 5 in the quotient and subtract 160 from 180, which gives 20.

Step 7: Bring down another 0 to make it 200, and repeat the division process.

Step 8: 32 goes into 200 six times (32 × 6 = 192). Write 6 in the quotient and subtract 192 from 200, which gives 8.

Step 9: Bring down another 0 to make it 80, and repeat the division process.

Step 10: 32 goes into 80 two times (32 × 2 = 64). Write 2 in the quotient and subtract 64 from 80, which gives 16.

Step 11: Bring down another 0 to make it 160, and repeat the division process.

Step 12: 32 goes into 160 five times (32 × 5 = 160). Write 5 in the quotient and subtract 160 from 160, which gives 0, ending the division.

The result of 21/32 as a decimal is 0.65625.

• 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.

• Terminating Decimal: A decimal that has a finite number of digits after the decimal point and does not repeat infinitely.