What is 770/1120 Simplified? (Reduce 770/1120 to Lowest Terms: 11/16)

Exact Answer

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Problem: Simplify 770/1120 to Lowest Terms
Formula / Expression: 770/1120 = 11/16
Final Answer: 11/16
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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 770: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
• Factors of 1120: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70
Working: GCD(770, 1120) = 70

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 70. Divide both the numerator (770) and denominator (1120) by 70.
Working: 770 ÷ 70/1120 ÷ 70 = 11/16

Key Values:
- Simplified Fraction: 11/16
- Mixed Number Form: 11/16
- Decimal Value: 0.6875
- Percentage: 68.75%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-770-1120/
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770/1120 = 11/16

Simplified Fraction

11/16

Mixed Number

Proper (11/16)

Decimal Value

0.6875

Percentage

68.75%

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Step-by-Step Solution: 770/1120 = 11/16

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 1120: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70

GCD(770, 1120) = 70

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 70. Divide both the numerator (770) and denominator (1120) by 70.

770 ÷ 70/1120 ÷ 70 = 11/16

Visual Representation

The diagram below illustrates Simplify 770/1120 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/16`
Mixed Number Form	`11/16`
Decimal Form	`0.6875`
Percentage	`68.75%`

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Frequently Asked Questions

What is 770/1120 in simplest form?

770/1120 simplified to lowest terms is 11/16.

What is the GCD (GCF) of 770 and 1120?

The Greatest Common Divisor (GCD) of 770 and 1120 is 70.

What are equivalent fractions to 770/1120?

Equivalent fractions to 770/1120 include 22/32, 33/48, and 44/64.