What is 1080/942 Simplified? (Reduce 1080/942 to Lowest Terms: 180/157)

Exact Answer

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Problem: Simplify 1080/942 to Lowest Terms
Formula / Expression: 1080/942 = 180/157
Final Answer: 1 23/157 (180/157)
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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 942: 1, 2, 3, 6, 157, 314, 471, 942
Working: GCD(1080, 942) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1080) and denominator (942) by 6.
Working: 1080 ÷ 6/942 ÷ 6 = 180/157

Step 3: Convert Improper Fraction to a Mixed Number
Because 180 is larger than 157, 180/157 can also be written as the mixed number 1 23/157.
Working: 180/157 = 1 23/157

Key Values:
- Simplified Fraction: 180/157
- Mixed Number Form: 1 23/157
- Decimal Value: 1.146497
- Percentage: 114.6497%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1080-942/
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1080/942 = 180/157

Simplified Fraction

180/157

Mixed Number

1 23/157

Decimal Value

1.146497

Percentage

114.6497%

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Step-by-Step Solution: 1080/942 = 180/157

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 942: 1, 2, 3, 6, 157, 314, 471, 942

GCD(1080, 942) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1080) and denominator (942) by 6.

1080 ÷ 6/942 ÷ 6 = 180/157

Step 3

Convert Improper Fraction to a Mixed Number

Because 180 is larger than 157, 180/157 can also be written as the mixed number 1 23/157.

180/157 = 123/157

Visual Representation

The diagram below illustrates Simplify 1080/942 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`180/157`
Mixed Number Form	`1 23/157`
Decimal Form	`1.146497`
Percentage	`114.6497%`

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Frequently Asked Questions

What is 1080/942 in simplest form?

1080/942 simplified to lowest terms is 180/157.

What is the GCD (GCF) of 1080 and 942?

The Greatest Common Divisor (GCD) of 1080 and 942 is 6.

What are equivalent fractions to 1080/942?

Equivalent fractions to 1080/942 include 360/314, 540/471, and 720/628.