What is 1320/902 Simplified? (Reduce 1320/902 to Lowest Terms: 60/41)

Exact Answer

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Problem: Simplify 1320/902 to Lowest Terms
Formula / Expression: 1320/902 = 60/41
Final Answer: 1 19/41 (60/41)
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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 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 902: 1, 2, 11, 22, 41, 82, 451, 902
Working: GCD(1320, 902) = 22

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 22. Divide both the numerator (1320) and denominator (902) by 22.
Working: 1320 ÷ 22/902 ÷ 22 = 60/41

Step 3: Convert Improper Fraction to a Mixed Number
Because 60 is larger than 41, 60/41 can also be written as the mixed number 1 19/41.
Working: 60/41 = 1 19/41

Key Values:
- Simplified Fraction: 60/41
- Mixed Number Form: 1 19/41
- Decimal Value: 1.463415
- Percentage: 146.3415%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1320-902/
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1320/902 = 60/41

Simplified Fraction

60/41

Mixed Number

1 19/41

Decimal Value

1.463415

Percentage

146.3415%

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Step-by-Step Solution: 1320/902 = 60/41

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 902: 1, 2, 11, 22, 41, 82, 451, 902

GCD(1320, 902) = 22

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 22. Divide both the numerator (1320) and denominator (902) by 22.

1320 ÷ 22/902 ÷ 22 = 60/41

Step 3

Convert Improper Fraction to a Mixed Number

Because 60 is larger than 41, 60/41 can also be written as the mixed number 1 19/41.

60/41 = 119/41

Visual Representation

The diagram below illustrates Simplify 1320/902 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`60/41`
Mixed Number Form	`1 19/41`
Decimal Form	`1.463415`
Percentage	`146.3415%`

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Frequently Asked Questions

What is 1320/902 in simplest form?

1320/902 simplified to lowest terms is 60/41.

What is the GCD (GCF) of 1320 and 902?

The Greatest Common Divisor (GCD) of 1320 and 902 is 22.

What are equivalent fractions to 1320/902?

Equivalent fractions to 1320/902 include 120/82, 180/123, and 240/164.