What is 770/1180 Simplified? (Reduce 770/1180 to Lowest Terms: 77/118)

Exact Answer

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Problem: Simplify 770/1180 to Lowest Terms
Formula / Expression: 770/1180 = 77/118
Final Answer: 77/118
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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 770: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
• Factors of 1180: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180
Working: GCD(770, 1180) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (770) and denominator (1180) by 10.
Working: 770 ÷ 10/1180 ÷ 10 = 77/118

Key Values:
- Simplified Fraction: 77/118
- Mixed Number Form: 77/118
- Decimal Value: 0.652542
- Percentage: 65.2542%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-770-1180/
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770/1180 = 77/118

Simplified Fraction

77/118

Mixed Number

Proper (77/118)

Decimal Value

0.652542

Percentage

65.2542%

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Step-by-Step Solution: 770/1180 = 77/118

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 770: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
• Factors of 1180: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180

GCD(770, 1180) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (770) and denominator (1180) by 10.

770 ÷ 10/1180 ÷ 10 = 77/118

Visual Representation

The diagram below illustrates Simplify 770/1180 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`77/118`
Mixed Number Form	`77/118`
Decimal Form	`0.652542`
Percentage	`65.2542%`

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Frequently Asked Questions

What is 770/1180 in simplest form?

770/1180 simplified to lowest terms is 77/118.

What is the GCD (GCF) of 770 and 1180?

The Greatest Common Divisor (GCD) of 770 and 1180 is 10.

What are equivalent fractions to 770/1180?

Equivalent fractions to 770/1180 include 154/236, 231/354, and 308/472.