What is 160/140 Simplified? (Reduce 160/140 to Lowest Terms: 8/7)

Exact Answer

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Problem: Simplify 160/140 to Lowest Terms
Formula / Expression: 160/140 = 8/7
Final Answer: 1 1/7 (8/7)
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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 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
• Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Working: GCD(160, 140) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (160) and denominator (140) by 20.
Working: 160 ÷ 20/140 ÷ 20 = 8/7

Step 3: Convert Improper Fraction to a Mixed Number
Because 8 is larger than 7, 8/7 can also be written as the mixed number 1 1/7.
Working: 8/7 = 1 1/7

Key Values:
- Simplified Fraction: 8/7
- Mixed Number Form: 1 1/7
- Decimal Value: 1.142857
- Percentage: 114.2857%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-160-140/
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160/140 = 8/7

Simplified Fraction

8/7

Mixed Number

1 1/7

Decimal Value

1.142857

Percentage

114.2857%

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Step-by-Step Solution: 160/140 = 8/7

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
• Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD(160, 140) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (160) and denominator (140) by 20.

160 ÷ 20/140 ÷ 20 = 8/7

Step 3

Convert Improper Fraction to a Mixed Number

Because 8 is larger than 7, 8/7 can also be written as the mixed number 1 1/7.

8/7 = 11/7

Visual Representation

The diagram below illustrates Simplify 160/140 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/7`
Mixed Number Form	`1 1/7`
Decimal Form	`1.142857`
Percentage	`114.2857%`

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Frequently Asked Questions

What is 160/140 in simplest form?

160/140 simplified to lowest terms is 8/7.

What is the GCD (GCF) of 160 and 140?

The Greatest Common Divisor (GCD) of 160 and 140 is 20.

What are equivalent fractions to 160/140?

Equivalent fractions to 160/140 include 16/14, 24/21, and 32/28.