What is 1188/1056 Simplified? (Reduce 1188/1056 to Lowest Terms: 9/8)

Exact Answer

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Problem: Simplify 1188/1056 to Lowest Terms
Formula / Expression: 1188/1056 = 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 1188: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66
• Factors of 1056: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66
Working: GCD(1188, 1056) = 132

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 132. Divide both the numerator (1188) and denominator (1056) by 132.
Working: 1188 ÷ 132/1056 ÷ 132 = 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-1188-1056/
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1188/1056 = 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: 1188/1056 = 9/8

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1188: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66
• Factors of 1056: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66

GCD(1188, 1056) = 132

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 132. Divide both the numerator (1188) and denominator (1056) by 132.

1188 ÷ 132/1056 ÷ 132 = 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 1188/1056 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 1188/1056 in simplest form?

1188/1056 simplified to lowest terms is 9/8.

What is the GCD (GCF) of 1188 and 1056?

The Greatest Common Divisor (GCD) of 1188 and 1056 is 132.

What are equivalent fractions to 1188/1056?

Equivalent fractions to 1188/1056 include 18/16, 27/24, and 36/32.