3 7/20 as a Decimal
2026-02-28 11:16 Diff
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Last updated on August 5, 2025

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top) here, 7, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 20. 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 3 7/20 as a decimal?

Answer

3 7/20 in decimals can be written as 3.35. It is a terminating decimal, meaning the decimal ends and does not repeat indefinitely.

Explanation

To convert 3 7/20 to a decimal, we will first convert the fractional part, 7/20, to a decimal. Here’s the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend, and the denominator (20) will be taken as the divisor.

Step 2: Divide 7 by 20. Since 7 is smaller than 20, we will add a decimal point and a zero to make it 70.

Step 3: Now divide 70 by 20. 20 goes into 70 three times (3 x 20 = 60).

Step 4: Subtract 60 from 70, which gives us 10.

Step 5: Bring down another 0, making it 100.

Step 6: 20 goes into 100 five times (5 x 20 = 100).

Step 7: Subtract 100 from 100, which leaves us with 0, indicating the division is complete. Thus, 7/20 as a decimal is 0.35. Finally, add the whole number part, 3, to the result from the fractional part.

The answer for 3 7/20 as a decimal is 3.35.

Important Glossaries for 3 7/20 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.