What is 1240/1302 Simplified? (Reduce 1240/1302 to Lowest Terms: 20/21)

Exact Answer

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Problem: Simplify 1240/1302 to Lowest Terms
Formula / Expression: 1240/1302 = 20/21
Final Answer: 20/21
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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 1240: 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240
• Factors of 1302: 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
Working: GCD(1240, 1302) = 62

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 62. Divide both the numerator (1240) and denominator (1302) by 62.
Working: 1240 ÷ 62/1302 ÷ 62 = 20/21

Key Values:
- Simplified Fraction: 20/21
- Mixed Number Form: 20/21
- Decimal Value: 0.952381
- Percentage: 95.2381%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1240-1302/
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1240/1302 = 20/21

Simplified Fraction

20/21

Mixed Number

Proper (20/21)

Decimal Value

0.952381

Percentage

95.2381%

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Step-by-Step Solution: 1240/1302 = 20/21

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1240: 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240
• Factors of 1302: 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302

GCD(1240, 1302) = 62

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 62. Divide both the numerator (1240) and denominator (1302) by 62.

1240 ÷ 62/1302 ÷ 62 = 20/21

Visual Representation

The diagram below illustrates Simplify 1240/1302 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`20/21`
Mixed Number Form	`20/21`
Decimal Form	`0.952381`
Percentage	`95.2381%`

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Frequently Asked Questions

What is 1240/1302 in simplest form?

1240/1302 simplified to lowest terms is 20/21.

What is the GCD (GCF) of 1240 and 1302?

The Greatest Common Divisor (GCD) of 1240 and 1302 is 62.

What are equivalent fractions to 1240/1302?

Equivalent fractions to 1240/1302 include 40/42, 60/63, and 80/84.