Our **comparing fractions calculator** is designed to help users compute the **relative size** or **value** of two or more fractions using formula **a/b = (a * (LCM(b, d) / b)) / LCM(b, d)**.

Let’s say we want to compare **3/4** and **2/3**. A comparing fractions calculator would quickly determine that **3/4 is greater than 2/3**, saving time and reducing the chance of **error** in manual calculations.

## Comparing Fractions Calculator

Fraction 1 | Fraction 2 | Comparison Result |
---|---|---|

1/2 | 3/4 | 1/2 < 3/4 |

5/6 | 3/8 | 5/6 > 3/8 |

2/3 | 4/9 | 2/3 > 4/9 |

1/4 | 1/3 | 1/4 < 1/3 |

7/10 | 2/5 | 7/10 > 2/5 |

3/5 | 2/7 | 3/5 > 2/7 |

1/8 | 1/2 | 1/8 < 1/2 |

5/12 | 1/3 | 5/12 > 1/3 |

3/10 | 7/20 | 3/10 > 7/20 |

2/5 | 4/10 | 2/5 = 4/10 |

1/6 | 1/2 | 1/6 < 1/2 |

9/10 | 3/4 | 9/10 > 3/4 |

5/8 | 3/5 | 5/8 > 3/5 |

1/3 | 1/4 | 1/3 > 1/4 |

7/12 | 2/3 | 7/12 < 2/3 |

## Comparing Fractions Formula

- a/b = (a * (LCM(b, d) / b)) / LCM(b, d)
- c/d = (c * (LCM(b, d) / d)) / LCM(b, d)

The formula for comparing fractions involves finding a **common denominator** for the fractions being compared. Once a common denominator is established, we can directly compare the **numerators** to determine which fraction is **greater**.

- Comparing
**2/5**and**3/7**:- LCM of
**5**and**7**is**35**. **2/5 = (2**.*7) / (5*7) = 14/35**3/7 = (3**.*5) / (7*5) = 15/35**15/35 > 14/35**, so**3/7 > 2/5**.

- LCM of
- Comparing
**4/9**and**5/12**:- LCM of
**9**and**12**is**36**. **4/9 = (4**.*4) / (9*4) = 16/36**5/12 = (5**.*3) / (12*3) = 15/36**16/36 > 15/36**, so**4/9 > 5/12**.

- LCM of

## How do you compare two fractions?

**Check for same denominators**: If the fractions have the same denominator, simply compare the**numerators**. The fraction with the**larger numerator**is greater.**Find a common denominator**: If the denominators are different, find the**least common multiple (LCM)**of the denominators.**Convert fractions**: Multiply both the**numerator**and**denominator**of each fraction by the appropriate factor to reach the common denominator.**Compare numerators**: Once both fractions have the same denominator, compare their**numerators**. The fraction with the**larger numerator**is greater.**Consider negative fractions**: Remember that**negative fractions**are less than**positive fractions**, and larger negative fractions are actually**smaller**in value.**Use cross-multiplication**: For a quick comparison, multiply the**numerator**of each fraction by the**denominator**of the other fraction. Compare the results to determine which fraction is**greater**.

Let’s compare **5/8** and **7/12**:

- The denominators are different, so we need to find the
**LCM**of**8**and**12**, which is**24**. - Convert
**5/8**to an equivalent fraction with denominator**24**:**5/8 = (5**.*3) / (8*3) = 15/24

- Convert
**7/12**to an equivalent fraction with denominator**24**:**7/12 = (7**.*2) / (12*2) = 14/24

- Now we can directly compare
**15/24**and**14/24**. - Since
**15 > 14**, we conclude that**5/8 > 7/12**.

## Which fraction is greater?

**Fractions with the same denominator**: The fraction with the **larger numerator** is greater.

**Example**: **5/7 > 3/7**.

**Fractions with the same numerator**: The fraction with the **smaller denominator** is greater.

**Example**: **4/5 > 4/9**.

**Fractions close to 1**: Compare how close each fraction is to **1** by subtracting from **1**.

**Example**: **9/10 > 11/12** because **1 - 9/10 = 1/10**, which is less than **1 - 11/12 = 1/12**.

**Benchmark fractions**: Compare fractions to common benchmarks like **1/2**, **1/4**, or **3/4**.

**Example**: **7/12 > 1/2**, while **5/12 < 1/2**.

**Cross-multiplication**: Multiply the **numerator** of each fraction by the **denominator** of the other fraction and compare the results.

**Example**: For **3/4** and **5/6**, cross-multiply: **3 * 6 = 18** and **4 * 5 = 20**. Since **20 > 18**, **5/6 > 3/4**.

## Which is bigger, 5’8″ or 3/4″?

To compare **5’8″** and **3/4″**, we need to convert them to the same unit of measurement. Let’s convert both to **inches**:

**5’8″ = (5 * 12) + 8 = 68 inches**.**3/4″ = 0.75 inches**.

Clearly,

68 inchesis much larger than0.75 inches. Therefore,5’8″ is bigger than 3/4″.

**Related Tools:**