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115 LearnersLast updated on March 11th, 2025
21/32 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: numerator (the number on the top) here, 21 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 32. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 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.
Important Glossaries for 21/32 as a decimal
- 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.
