What is 2 2/3 times 3/7?
What is 2 2/3 times 3/7?
Answer
As a mixed number: 1 1/7
As a decimal: ≈ 1.1429
8/7 is the result of multiplying 2 2/3 by 3/7. As a mixed number that is 1 1/7.
Steps to multiply 2 2/3 by 3/7
Multiplying fractions means taking a part of a part, so 2 2/3 × 3/7 is solved by multiplying the numerators together and the denominators together. Here is every step.
Step 1: Write both numbers as fractions
A whole number is written over 1, and a mixed number becomes an improper fraction: multiply the whole part by the denominator and add the numerator.
2 2/3 = (2 × 3 + 2)/3 = 8/3
Step 2: Multiply across
Multiply the numerators together and the denominators together. No common denominator is needed — that is only for addition and subtraction.
8/3 × 3/7
=(8 × 3)/(3 × 7)
=24/21
Step 3: Reduce the fraction
The greatest common factor of 24 and 21 is 3, so divide both parts by it.
24/21
=8/7
Step 4: Write it as a mixed number
The numerator is larger than the denominator, so 8/7 can also be written as a mixed number.
Answer
2 2/3 × 3/7
=8/7
(1 1/7)
As a decimal, 2 2/3 × 3/7 ≈ 1.1429 — the decimal form is rounded, the fraction 8/7 is the exact answer.
Related Calculations
See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction Comparison Calculator - Compare two fractions and find out which is larger
- Dividing Fractions Calculator - Divide fractions, mixed numbers and whole numbers step by step
- Fraction to Mixed Number Converter - Convert an Improper Fraction to a Mixed Number
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fractions
<a href="https://calculat.io/en/number/fraction-multiplication/2--2--3--0--3--7">2 2/3 times 3/7 = 8/7 - Calculatio</a>
Fraction Multiplication Table
| Multiplication | Result | Decimal Form |
|---|---|---|
| 2 2/3 × 1/7 | 8/21 | ≈ 0.381 |
| 2 2/3 × 1/6 | 4/9 | ≈ 0.4444 |
| 2 2/3 × 1/5 | 8/15 | ≈ 0.5333 |
| 2 2/3 × 1/4 | 2/3 | ≈ 0.6667 |
| 2 2/3 × 2/7 | 16/21 | ≈ 0.7619 |
| 2 2/3 × 3/10 | 4/5 | = 0.8 |
| 2 2/3 × 1/3 | 8/9 | ≈ 0.8889 |
| 2 2/3 × 2/6 | 8/9 | ≈ 0.8889 |
| 2 2/3 × 3/8 | 1 | = 1 |
| 2 2/3 × 2/5 | 16/15 | ≈ 1.0667 |
| 2 2/3 × 3/7 | 8/7 | ≈ 1.1429 |
| 2 2/3 × 4/9 | 32/27 | ≈ 1.1852 |
| 2 2/3 × 1/2 | 4/3 | ≈ 1.3333 |
| 2 2/3 × 3/6 | 4/3 | ≈ 1.3333 |
| 2 2/3 × 4/7 | 32/21 | ≈ 1.5238 |
| 2 2/3 × 3/5 | 8/5 | = 1.6 |
| 2 2/3 × 5/8 | 5/3 | ≈ 1.6667 |
| 2 2/3 × 2/3 | 16/9 | ≈ 1.7778 |
| 2 2/3 × 5/7 | 40/21 | ≈ 1.9048 |
| 2 2/3 × 3/4 | 2 | = 2 |
About "Multiplying Fractions Calculator" Calculator
This calculator multiplies two fractions and shows the whole solution, not just the answer. Mixed numbers and whole numbers are accepted on both sides, so you can multiply 2 3/4 by 2/3 just as easily as 1/2 by 4.
For example, it can help you find out what is 2 2/3 times 3/7? (The answer is: 8/7).
Enter the first factor on the left and the second one on the right (for example '2 2/3' and '3/7'), 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: multiplying fractions means taking a part of a part, so the numerators multiply together and the denominators multiply together.