What is 1350/1200 Simplified? (Reduce 1350/1200 to Lowest Terms: 9/8)

Exact Answer

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Problem: Simplify 1350/1200 to Lowest Terms
Formula / Expression: 1350/1200 = 9/8
Final Answer: 1 1/8 (9/8)
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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 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
Working: GCD(1350, 1200) = 150

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 150. Divide both the numerator (1350) and denominator (1200) by 150.
Working: 1350 ÷ 150/1200 ÷ 150 = 9/8

Step 3: Convert Improper Fraction to a Mixed Number
Because 9 is larger than 8, 9/8 can also be written as the mixed number 1 1/8.
Working: 9/8 = 1 1/8

Key Values:
- Simplified Fraction: 9/8
- Mixed Number Form: 1 1/8
- Decimal Value: 1.125
- Percentage: 112.5%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1350-1200/
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1350/1200 = 9/8

Simplified Fraction

9/8

Mixed Number

1 1/8

Decimal Value

1.125

Percentage

112.5%

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Step-by-Step Solution: 1350/1200 = 9/8

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40

GCD(1350, 1200) = 150

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 150. Divide both the numerator (1350) and denominator (1200) by 150.

1350 ÷ 150/1200 ÷ 150 = 9/8

Step 3

Convert Improper Fraction to a Mixed Number

Because 9 is larger than 8, 9/8 can also be written as the mixed number 1 1/8.

9/8 = 11/8

Visual Representation

The diagram below illustrates Simplify 1350/1200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/8`
Mixed Number Form	`1 1/8`
Decimal Form	`1.125`
Percentage	`112.5%`

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Frequently Asked Questions

What is 1350/1200 in simplest form?

1350/1200 simplified to lowest terms is 9/8.

What is the GCD (GCF) of 1350 and 1200?

The Greatest Common Divisor (GCD) of 1350 and 1200 is 150.

What are equivalent fractions to 1350/1200?

Equivalent fractions to 1350/1200 include 18/16, 27/24, and 36/32.