7/4 as a Decimal
The fraction 7/4 converted to a decimal, with a step-by-step solution.
How to Convert 7/4 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
7 ÷ 4
- 2
4 goes into 7 1 time (1 × 4 = 4), leaving a remainder of 3. Place a decimal point after the 1.
7 ÷ 4 = 1 remainder 3
- 3
Bring down a 0 to make 30. 4 goes into 30 7 times (7 × 4 = 28), remainder 2.
30 ÷ 4 = 7, r 2
- 4
Bring down a 0 to make 20. 4 goes into 20 5 times (5 × 4 = 20), remainder 0.
20 ÷ 4 = 5, r 0
Is 7/4 a Terminating or Repeating Decimal?
7/4 is a terminating decimal: the division ends exactly at 1.75 with no repeating digits.
7/4 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 1.8 |
| Nearest hundredth | 1.75 |
| Nearest thousandth | 1.750 |
7/4 as a Mixed Number
Because 7 is greater than 4, 7/4 is an improper fraction. As a mixed number it is 1 3/4 — 4 goes into 7 1 time with 3/4 left over.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
7 ÷ 4 = 1.75
- 2
Multiply by 100 to get the percentage.
1.75 × 100 = 175%
Frequently Asked Questions
What is 7/4 as a decimal?
7/4 as a decimal is 1.75. You get it by dividing the numerator 7 by the denominator 4.
Is 7/4 a terminating or repeating decimal?
7/4 is a terminating decimal — it ends exactly at 1.75 with no repeating digits.
What is 7/4 as a mixed number?
7/4 as a mixed number is 1 3/4, because 4 goes into 7 1 time with 3/4 left over.
What is 7/4 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 7/4 ≈ 1.750. To the nearest hundredth it is 1.75, and to the nearest tenth it is 1.8.
Is 7/4 a rational number?
Yes. 7/4 is a ratio of two integers (7 over 4), so it is a rational number — even though its decimal form terminates.