Simplify 160/142 to Lowest Terms
160/142 simplified to its lowest terms is 80/71 (or 1.126761 in decimal). See how to reduce 160/142 using Greatest Common Divisor (GCD = 2).
Exact Answer
160/142 = 80/71
Simplified Fraction
80/71
Mixed Number
1 9/71
Decimal Value
1.126761
Percentage
112.6761%
Step-by-Step Solution: 160/142 = 80/71
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 160:
• Factors of 142:
• Factors of 160:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160• Factors of 142:
1, 2, 71, 142
GCD(160, 142) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (160) and denominator (142) by 2.
160 ÷ 2/142 ÷ 2 = 80/71
Step 3
Convert Improper Fraction to a Mixed Number
Because 80 is larger than 71, 80/71 can also be written as the mixed number 1 9/71.
80/71 = 19/71
Visual Representation
The diagram below illustrates Simplify 160/142 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 80/71 |
| Mixed Number Form | 1 9/71 |
| Decimal Form | 1.126761 |
| Percentage | 112.6761% |
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Frequently Asked Questions
What is 160/142 in simplest form?
160/142 simplified to lowest terms is 80/71.
What is the GCD (GCF) of 160 and 142?
The Greatest Common Divisor (GCD) of 160 and 142 is 2.
What are equivalent fractions to 160/142?
Equivalent fractions to 160/142 include 160/142, 240/213, and 320/284.