What is 1080/790 Simplified? (Reduce 1080/790 to Lowest Terms: 108/79)

Exact Answer

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Problem: Simplify 1080/790 to Lowest Terms
Formula / Expression: 1080/790 = 108/79
Final Answer: 1 29/79 (108/79)
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30
• Factors of 790: 1, 2, 5, 10, 79, 158, 395, 790
Working: GCD(1080, 790) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1080) and denominator (790) by 10.
Working: 1080 ÷ 10/790 ÷ 10 = 108/79

Step 3: Convert Improper Fraction to a Mixed Number
Because 108 is larger than 79, 108/79 can also be written as the mixed number 1 29/79.
Working: 108/79 = 1 29/79

Key Values:
- Simplified Fraction: 108/79
- Mixed Number Form: 1 29/79
- Decimal Value: 1.367089
- Percentage: 136.7089%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1080-790/
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1080/790 = 108/79

Simplified Fraction

108/79

Mixed Number

1 29/79

Decimal Value

1.367089

Percentage

136.7089%

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Step-by-Step Solution: 1080/790 = 108/79

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30
• Factors of 790: 1, 2, 5, 10, 79, 158, 395, 790

GCD(1080, 790) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1080) and denominator (790) by 10.

1080 ÷ 10/790 ÷ 10 = 108/79

Step 3

Convert Improper Fraction to a Mixed Number

Because 108 is larger than 79, 108/79 can also be written as the mixed number 1 29/79.

108/79 = 129/79

Visual Representation

The diagram below illustrates Simplify 1080/790 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`108/79`
Mixed Number Form	`1 29/79`
Decimal Form	`1.367089`
Percentage	`136.7089%`

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Frequently Asked Questions

What is 1080/790 in simplest form?

1080/790 simplified to lowest terms is 108/79.

What is the GCD (GCF) of 1080 and 790?

The Greatest Common Divisor (GCD) of 1080 and 790 is 10.

What are equivalent fractions to 1080/790?

Equivalent fractions to 1080/790 include 216/158, 324/237, and 432/316.