What is 1480/1202 Simplified? (Reduce 1480/1202 to Lowest Terms: 740/601)

Exact Answer

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Problem: Simplify 1480/1202 to Lowest Terms
Formula / Expression: 1480/1202 = 740/601
Final Answer: 1 139/601 (740/601)
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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 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
• Factors of 1202: 1, 2, 601, 1202
Working: GCD(1480, 1202) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1480) and denominator (1202) by 2.
Working: 1480 ÷ 2/1202 ÷ 2 = 740/601

Step 3: Convert Improper Fraction to a Mixed Number
Because 740 is larger than 601, 740/601 can also be written as the mixed number 1 139/601.
Working: 740/601 = 1 139/601

Key Values:
- Simplified Fraction: 740/601
- Mixed Number Form: 1 139/601
- Decimal Value: 1.231281
- Percentage: 123.1281%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1480-1202/
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1480/1202 = 740/601

Simplified Fraction

740/601

Mixed Number

1 139/601

Decimal Value

1.231281

Percentage

123.1281%

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Step-by-Step Solution: 1480/1202 = 740/601

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1480: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
• Factors of 1202: 1, 2, 601, 1202

GCD(1480, 1202) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1480) and denominator (1202) by 2.

1480 ÷ 2/1202 ÷ 2 = 740/601

Step 3

Convert Improper Fraction to a Mixed Number

Because 740 is larger than 601, 740/601 can also be written as the mixed number 1 139/601.

740/601 = 1139/601

Visual Representation

The diagram below illustrates Simplify 1480/1202 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`740/601`
Mixed Number Form	`1 139/601`
Decimal Form	`1.231281`
Percentage	`123.1281%`

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Frequently Asked Questions

What is 1480/1202 in simplest form?

1480/1202 simplified to lowest terms is 740/601.

What is the GCD (GCF) of 1480 and 1202?

The Greatest Common Divisor (GCD) of 1480 and 1202 is 2.

What are equivalent fractions to 1480/1202?

Equivalent fractions to 1480/1202 include 1480/1202, 2220/1803, and 2960/2404.