Compare and sort in ascending order the two common ordinary fractions, which one is larger: 71 and 76/3. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: 71 and 76/3
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
71 and 76/3
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
76/3 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
76 = 22 × 19
3 is a prime number.
To compare and sort the fractions, build them up to the same denominator.
Expand the fraction that has 1 as a denominator.
Multiply the numerator and denominator by the same number:
71 = (3 × 71)/(3 × 1) = 213/3
The fractions have the same denominator, compare their numerators.
The larger the numerator the larger the positive fraction.
The larger the numerator the smaller the negative fraction.
::: The operation of comparing fractions :::
The final answer:
The fractions sorted in ascending order:
76/3 < 213/3
The initial fractions sorted in ascending order:
76/3 < 71
How are the numbers written: comma ',' used as a thousands separator; point '.' as a decimal separator; numbers rounded off to max. 12 decimals (if the case). Used symbols: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.
Other similar operations
Compare and sort common ordinary fractions, online calculator:
The latest common ordinary fractions compared and sorted in ascending order
| Compare and sort the fractions: 71 and 76/3 | Sep 22 18:51 UTC (GMT) |
| Compare and sort the fractions: 25/30, 46/30, 56/26 | Sep 22 18:51 UTC (GMT) |
| Compare and sort the fractions: 1/3 and 8/7 | Sep 22 18:50 UTC (GMT) |
| Compare and sort the fractions: 36/23, 35/22, 44/20, 51/16 | Sep 22 18:50 UTC (GMT) |
| Compare and sort the fractions: - 17/31, - 18/34, - 28/19 | Sep 22 18:50 UTC (GMT) |
| Compare and sort the fractions: 3/8 and 10/14 | Sep 22 18:50 UTC (GMT) |
| Compare and sort the fractions: - 67/51, - 56/76, - 43/62, - 44/70, - 41/63 | Sep 22 18:50 UTC (GMT) |
| Compare and sort the fractions: 9/10 and 90/100 | Sep 22 18:49 UTC (GMT) |
| Compare and sort the fractions: 3/8, 5/16, 1/4 | Sep 22 18:49 UTC (GMT) |
| Compare and sort the fractions: 20/12, 21/16, 96/120, 47/67 | Sep 22 18:48 UTC (GMT) |
| See all the common ordinary fractions compared by the users... |
| See all the common ordinary fractions sorted in ascending order... |
Tutoring: Comparing ordinary fractions
How to compare two fractions?
1. Fractions that have different signs:
- Any positive fraction is larger than any negative fraction:
- ie: 4/25 > - 19/2
2. A proper and an improper fraction:
- Any positive improper fraction is larger than any positive proper fraction:
- ie: 44/25 > 1 > 19/200
- Any negative improper fraction is smaller than any negative proper fraction:
- ie: - 44/25 < -1 < - 19/200
3. Fractions that have both like numerators and denominators:
- The fractions are equal:
- ie: 89/50 = 89/50
4. Fractions that have unlike (different) numerators but like (equal) denominators.
- Positive fractions: compare the numerators, the larger fraction is the one with the larger numerator:
- ie: 24/25 > 19/25
- Negative fractions: compare the numerators, the larger fraction is the one with the smaller numerator:
- ie: - 19/25 < - 17/25
5. Fractions that have unlike (different) denominators but like (equal) numerators.
- Positive fractions: compare the denominators, the larger fraction is the one with the smaller denominator:
- ie: 24/25 > 24/26
- Negative fractions: compare the denominators, the larger fraction is the one with the larger denominator:
- ie: - 17/25 < - 17/29
6. Fractions that have different denominators and numerators (unlike denominators and numerators).
- To compare them, fractions should be built up to the same denominator (or if it's easier, to the same numerator).
More on ordinary (common) fractions / theory: