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

Exact Answer

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Problem: Simplify 1120/690 to Lowest Terms
Formula / Expression: 1120/690 = 112/69
Final Answer: 1 43/69 (112/69)
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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 1120: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70
• Factors of 690: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Working: GCD(1120, 690) = 10

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

Step 3: Convert Improper Fraction to a Mixed Number
Because 112 is larger than 69, 112/69 can also be written as the mixed number 1 43/69.
Working: 112/69 = 1 43/69

Key Values:
- Simplified Fraction: 112/69
- Mixed Number Form: 1 43/69
- Decimal Value: 1.623188
- Percentage: 162.3188%

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

Simplified Fraction

112/69

Mixed Number

1 43/69

Decimal Value

1.623188

Percentage

162.3188%

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

Step 1

Find the Factors of the Numerator and Denominator

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

GCD(1120, 690) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

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

1120 ÷ 10/690 ÷ 10 = 112/69

Step 3

Convert Improper Fraction to a Mixed Number

Because 112 is larger than 69, 112/69 can also be written as the mixed number 1 43/69.

112/69 = 143/69

Visual Representation

The diagram below illustrates Simplify 1120/690 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`112/69`
Mixed Number Form	`1 43/69`
Decimal Form	`1.623188`
Percentage	`162.3188%`

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Frequently Asked Questions

What is 1120/690 in simplest form?

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

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

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

What are equivalent fractions to 1120/690?

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