What is 748/1160 Simplified? (Reduce 748/1160 to Lowest Terms: 187/290)

Exact Answer

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Problem: Simplify 748/1160 to Lowest Terms
Formula / Expression: 748/1160 = 187/290
Final Answer: 187/290
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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 748: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
• Factors of 1160: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
Working: GCD(748, 1160) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (748) and denominator (1160) by 4.
Working: 748 ÷ 4/1160 ÷ 4 = 187/290

Key Values:
- Simplified Fraction: 187/290
- Mixed Number Form: 187/290
- Decimal Value: 0.644828
- Percentage: 64.4828%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-748-1160/
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748/1160 = 187/290

Simplified Fraction

187/290

Mixed Number

Proper (187/290)

Decimal Value

0.644828

Percentage

64.4828%

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Step-by-Step Solution: 748/1160 = 187/290

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 748: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
• Factors of 1160: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160

GCD(748, 1160) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (748) and denominator (1160) by 4.

748 ÷ 4/1160 ÷ 4 = 187/290

Visual Representation

The diagram below illustrates Simplify 748/1160 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`187/290`
Mixed Number Form	`187/290`
Decimal Form	`0.644828`
Percentage	`64.4828%`

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Frequently Asked Questions

What is 748/1160 in simplest form?

748/1160 simplified to lowest terms is 187/290.

What is the GCD (GCF) of 748 and 1160?

The Greatest Common Divisor (GCD) of 748 and 1160 is 4.

What are equivalent fractions to 748/1160?

Equivalent fractions to 748/1160 include 374/580, 561/870, and 748/1160.