What is 690/1120 Simplified? (Reduce 690/1120 to Lowest Terms: 69/112)

Exact Answer

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Problem: Simplify 690/1120 to Lowest Terms
Formula / Expression: 690/1120 = 69/112
Final Answer: 69/112
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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 690: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
• Factors of 1120: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70
Working: GCD(690, 1120) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (690) and denominator (1120) by 10.
Working: 690 ÷ 10/1120 ÷ 10 = 69/112

Key Values:
- Simplified Fraction: 69/112
- Mixed Number Form: 69/112
- Decimal Value: 0.616071
- Percentage: 61.6071%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-690-1120/
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690/1120 = 69/112

Simplified Fraction

69/112

Mixed Number

Proper (69/112)

Decimal Value

0.616071

Percentage

61.6071%

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Step-by-Step Solution: 690/1120 = 69/112

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 690: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
• Factors of 1120: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70

GCD(690, 1120) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (690) and denominator (1120) by 10.

690 ÷ 10/1120 ÷ 10 = 69/112

Visual Representation

The diagram below illustrates Simplify 690/1120 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/112`
Mixed Number Form	`69/112`
Decimal Form	`0.616071`
Percentage	`61.6071%`

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Frequently Asked Questions

What is 690/1120 in simplest form?

690/1120 simplified to lowest terms is 69/112.

What is the GCD (GCF) of 690 and 1120?

The Greatest Common Divisor (GCD) of 690 and 1120 is 10.

What are equivalent fractions to 690/1120?

Equivalent fractions to 690/1120 include 138/224, 207/336, and 276/448.