What is 1480/1350 Simplified? (Reduce 1480/1350 to Lowest Terms: 148/135)

Exact Answer

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Problem: Simplify 1480/1350 to Lowest Terms
Formula / Expression: 1480/1350 = 148/135
Final Answer: 1 13/135 (148/135)
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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 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
Working: GCD(1480, 1350) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1480) and denominator (1350) by 10.
Working: 1480 ÷ 10/1350 ÷ 10 = 148/135

Step 3: Convert Improper Fraction to a Mixed Number
Because 148 is larger than 135, 148/135 can also be written as the mixed number 1 13/135.
Working: 148/135 = 1 13/135

Key Values:
- Simplified Fraction: 148/135
- Mixed Number Form: 1 13/135
- Decimal Value: 1.096296
- Percentage: 109.6296%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1480-1350/
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1480/1350 = 148/135

Simplified Fraction

148/135

Mixed Number

1 13/135

Decimal Value

1.096296

Percentage

109.6296%

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Step-by-Step Solution: 1480/1350 = 148/135

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 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75

GCD(1480, 1350) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1480) and denominator (1350) by 10.

1480 ÷ 10/1350 ÷ 10 = 148/135

Step 3

Convert Improper Fraction to a Mixed Number

Because 148 is larger than 135, 148/135 can also be written as the mixed number 1 13/135.

148/135 = 113/135

Visual Representation

The diagram below illustrates Simplify 1480/1350 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`148/135`
Mixed Number Form	`1 13/135`
Decimal Form	`1.096296`
Percentage	`109.6296%`

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Frequently Asked Questions

What is 1480/1350 in simplest form?

1480/1350 simplified to lowest terms is 148/135.

What is the GCD (GCF) of 1480 and 1350?

The Greatest Common Divisor (GCD) of 1480 and 1350 is 10.

What are equivalent fractions to 1480/1350?

Equivalent fractions to 1480/1350 include 296/270, 444/405, and 592/540.