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

Exact Answer

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

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

Step 3: Convert Improper Fraction to a Mixed Number
Because 16 is larger than 11, 16/11 can also be written as the mixed number 1 5/11.
Working: 16/11 = 1 5/11

Key Values:
- Simplified Fraction: 16/11
- Mixed Number Form: 1 5/11
- Decimal Value: 1.454545
- Percentage: 145.4545%

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

Simplified Fraction

16/11

Mixed Number

1 5/11

Decimal Value

1.454545

Percentage

145.4545%

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

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1120: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70
• Factors of 770: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD(1120, 770) = 70

Step 2

Divide Both by the Greatest Common Divisor (GCD)

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

1120 ÷ 70/770 ÷ 70 = 16/11

Step 3

Convert Improper Fraction to a Mixed Number

Because 16 is larger than 11, 16/11 can also be written as the mixed number 1 5/11.

16/11 = 15/11

Visual Representation

The diagram below illustrates Simplify 1120/770 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`16/11`
Mixed Number Form	`1 5/11`
Decimal Form	`1.454545`
Percentage	`145.4545%`

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Frequently Asked Questions

What is 1120/770 in simplest form?

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

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

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

What are equivalent fractions to 1120/770?

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