What is 1216/1144 Simplified? (Reduce 1216/1144 to Lowest Terms: 152/143)

Exact Answer

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Problem: Simplify 1216/1144 to Lowest Terms
Formula / Expression: 1216/1144 = 152/143
Final Answer: 1 9/143 (152/143)
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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 1216: 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216
• Factors of 1144: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
Working: GCD(1216, 1144) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1216) and denominator (1144) by 8.
Working: 1216 ÷ 8/1144 ÷ 8 = 152/143

Step 3: Convert Improper Fraction to a Mixed Number
Because 152 is larger than 143, 152/143 can also be written as the mixed number 1 9/143.
Working: 152/143 = 1 9/143

Key Values:
- Simplified Fraction: 152/143
- Mixed Number Form: 1 9/143
- Decimal Value: 1.062937
- Percentage: 106.2937%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1216-1144/
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1216/1144 = 152/143

Simplified Fraction

152/143

Mixed Number

1 9/143

Decimal Value

1.062937

Percentage

106.2937%

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Step-by-Step Solution: 1216/1144 = 152/143

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1216: 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216
• Factors of 1144: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144

GCD(1216, 1144) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1216) and denominator (1144) by 8.

1216 ÷ 8/1144 ÷ 8 = 152/143

Step 3

Convert Improper Fraction to a Mixed Number

Because 152 is larger than 143, 152/143 can also be written as the mixed number 1 9/143.

152/143 = 19/143

Visual Representation

The diagram below illustrates Simplify 1216/1144 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`152/143`
Mixed Number Form	`1 9/143`
Decimal Form	`1.062937`
Percentage	`106.2937%`

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Frequently Asked Questions

What is 1216/1144 in simplest form?

1216/1144 simplified to lowest terms is 152/143.

What is the GCD (GCF) of 1216 and 1144?

The Greatest Common Divisor (GCD) of 1216 and 1144 is 8.

What are equivalent fractions to 1216/1144?

Equivalent fractions to 1216/1144 include 304/286, 456/429, and 608/572.