What is 1350/1600 Simplified? (Reduce 1350/1600 to Lowest Terms: 27/32)

Exact Answer

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Problem: Simplify 1350/1600 to Lowest Terms
Formula / Expression: 1350/1600 = 27/32
Final Answer: 27/32
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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 1600: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
Working: GCD(1350, 1600) = 50

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (1350) and denominator (1600) by 50.
Working: 1350 ÷ 50/1600 ÷ 50 = 27/32

Key Values:
- Simplified Fraction: 27/32
- Mixed Number Form: 27/32
- Decimal Value: 0.84375
- Percentage: 84.375%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1350-1600/
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1350/1600 = 27/32

Simplified Fraction

27/32

Mixed Number

Proper (27/32)

Decimal Value

0.84375

Percentage

84.375%

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Step-by-Step Solution: 1350/1600 = 27/32

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 1600: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160

GCD(1350, 1600) = 50

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 50. Divide both the numerator (1350) and denominator (1600) by 50.

1350 ÷ 50/1600 ÷ 50 = 27/32

Visual Representation

The diagram below illustrates Simplify 1350/1600 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`27/32`
Mixed Number Form	`27/32`
Decimal Form	`0.84375`
Percentage	`84.375%`

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Frequently Asked Questions

What is 1350/1600 in simplest form?

1350/1600 simplified to lowest terms is 27/32.

What is the GCD (GCF) of 1350 and 1600?

The Greatest Common Divisor (GCD) of 1350 and 1600 is 50.

What are equivalent fractions to 1350/1600?

Equivalent fractions to 1350/1600 include 54/64, 81/96, and 108/128.