What is 702/1188 Simplified? (Reduce 702/1188 to Lowest Terms: 13/22)

Exact Answer

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Problem: Simplify 702/1188 to Lowest Terms
Formula / Expression: 702/1188 = 13/22
Final Answer: 13/22
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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 702: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
• Factors of 1188: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66
Working: GCD(702, 1188) = 54

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 54. Divide both the numerator (702) and denominator (1188) by 54.
Working: 702 ÷ 54/1188 ÷ 54 = 13/22

Key Values:
- Simplified Fraction: 13/22
- Mixed Number Form: 13/22
- Decimal Value: 0.590909
- Percentage: 59.0909%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-702-1188/
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702/1188 = 13/22

Simplified Fraction

13/22

Mixed Number

Proper (13/22)

Decimal Value

0.590909

Percentage

59.0909%

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Step-by-Step Solution: 702/1188 = 13/22

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 702: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
• Factors of 1188: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66

GCD(702, 1188) = 54

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 54. Divide both the numerator (702) and denominator (1188) by 54.

702 ÷ 54/1188 ÷ 54 = 13/22

Visual Representation

The diagram below illustrates Simplify 702/1188 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/22`
Mixed Number Form	`13/22`
Decimal Form	`0.590909`
Percentage	`59.0909%`

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Frequently Asked Questions

What is 702/1188 in simplest form?

702/1188 simplified to lowest terms is 13/22.

What is the GCD (GCF) of 702 and 1188?

The Greatest Common Divisor (GCD) of 702 and 1188 is 54.

What are equivalent fractions to 702/1188?

Equivalent fractions to 702/1188 include 26/44, 39/66, and 52/88.