What is 770/1148 Simplified? (Reduce 770/1148 to Lowest Terms: 55/82)

Exact Answer

770/1148 = 55/82

Simplified Fraction

55/82

Mixed Number

Proper (55/82)

Decimal Value

0.670732

Percentage

67.0732%

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Step-by-Step Solution: 770/1148 = 55/82

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 770: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
• Factors of 1148: 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148

GCD(770, 1148) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (770) and denominator (1148) by 14.

770 ÷ 14/1148 ÷ 14 = 55/82

Visual Representation

The diagram below illustrates Simplify 770/1148 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`55/82`
Mixed Number Form	`55/82`
Decimal Form	`0.670732`
Percentage	`67.0732%`

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Frequently Asked Questions

What is 770/1148 in simplest form?

770/1148 simplified to lowest terms is 55/82.

What is the GCD (GCF) of 770 and 1148?

The Greatest Common Divisor (GCD) of 770 and 1148 is 14.

What are equivalent fractions to 770/1148?

Equivalent fractions to 770/1148 include 110/164, 165/246, and 220/328.