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103 LearnersLast updated on March 13th, 2025
67/20 as a Decimal
This is a straightforward question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It consists of two parts: the numerator (number on the top) here, 67, which indicates how many parts out of the whole are being considered. The denominator (number below) shows how many parts make up the whole, here it is 20. A decimal is a way to represent numbers that are not whole, using a decimal point (.) 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 67/20 as a decimal?
Answer
67/20 as a decimal can be written as 3.35. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 67/20 to a decimal, we use the division method. Here's a step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (67) will be the dividend, and the denominator (20) will be the divisor.
Step 2: Divide 67 by 20. Since 67 is larger than 20, we can divide directly.
Step 3: Calculate how many times 20 fits into 67, which is 3 times (20 × 3 = 60).
Step 4: Write 3 in the quotient place. Subtract 60 from 67 to get 7.
Step 5: Bring down a 0 to make it 70, and divide again by 20. The result is 20 × 3 = 60, so we write another 3 in the quotient.
Step 6: Subtract 60 from 70 to get 10. Bring down another 0 to make it 100, and divide by 20 to get 5 (20 × 5 = 100).
Step 7: Subtract 100 from 100 to get 0. The division process concludes without a remainder.
The answer for 67/20 as a decimal is 3.35.
Important Glossaries for 67/20 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 ends and does not repeat infinitely.
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