What is 1/3 divided by 3/5?
What is 1/3 divided by 3/5?
Answer
As a decimal: ≈ 0.5556
5/9 is the result of dividing 1/3 by 3/5.
Steps to divide 1/3 by 3/5
Dividing by a fraction is the same as multiplying by its reciprocal, so 1/3 ÷ 3/5 is solved by turning the divisor upside down and multiplying. Here is every step.
Step 1: Flip the divisor
The reciprocal of 3/5 is 5/3, because a fraction and its reciprocal multiply to 1. Division by 3/5 therefore becomes multiplication by 5/3.
Step 2: Multiply across
Multiply the numerators together and the denominators together.
1/3 × 5/3
=(1 × 5)/(3 × 3)
=5/9
Answer
1/3 ÷ 3/5
=5/9
As a decimal, 1/3 ÷ 3/5 ≈ 0.5556 — the decimal form is rounded, the fraction 5/9 is the exact answer.
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<a href="https://calculat.io/en/number/fraction-division/0--1--3--0--3--5">1/3 divided by 3/5 = 5/9 - Calculatio</a>
Fraction Division Table
| Division | Result | Decimal Form |
|---|---|---|
| 1/3 ÷ 1/5 | 5/3 | ≈ 1.6667 |
| 1/3 ÷ 1/4 | 4/3 | ≈ 1.3333 |
| 1/3 ÷ 1/3 | 1 | = 1 |
| 1/3 ÷ 2/5 | 5/6 | ≈ 0.8333 |
| 1/3 ÷ 1/2 | 2/3 | ≈ 0.6667 |
| 1/3 ÷ 2/4 | 2/3 | ≈ 0.6667 |
| 1/3 ÷ 3/5 | 5/9 | ≈ 0.5556 |
| 1/3 ÷ 2/3 | 1/2 | = 0.5 |
| 1/3 ÷ 3/4 | 4/9 | ≈ 0.4444 |
| 1/3 ÷ 4/5 | 5/12 | ≈ 0.4167 |
| 1/3 ÷ 6/5 | 5/18 | ≈ 0.2778 |
| 1/3 ÷ 5/4 | 4/15 | ≈ 0.2667 |
| 1/3 ÷ 4/3 | 1/4 | = 0.25 |
| 1/3 ÷ 7/5 | 5/21 | ≈ 0.2381 |
| 1/3 ÷ 3/2 | 2/9 | ≈ 0.2222 |
| 1/3 ÷ 6/4 | 2/9 | ≈ 0.2222 |
| 1/3 ÷ 8/5 | 5/24 | ≈ 0.2083 |
| 1/3 ÷ 5/3 | 1/5 | = 0.2 |
| 1/3 ÷ 7/4 | 4/21 | ≈ 0.1905 |
| 1/3 ÷ 9/5 | 5/27 | ≈ 0.1852 |
Dividing Fractions Calculator
This calculator divides one fraction by another and shows the whole solution, not just the answer. Mixed numbers and whole numbers are accepted on both sides, so you can divide 2 3/4 by 2/3 just as easily as 1/2 by 4.
For example, it can help you find out what is 1/3 divided by 3/5? (The answer is: 5/9).
Enter the dividend on the left and the divisor on the right (for example '1/3' and '3/5'), then press the button.
The result is given as a fraction in its lowest terms, as a mixed number when it is greater than one, and as a decimal — with an approximation sign whenever the decimal never ends.
Every page also shows why the method works: dividing by a fraction is the same as multiplying by its reciprocal, so the divisor is flipped and the two fractions are multiplied.