What is 120/70 Simplified? (Reduce 120/70 to Lowest Terms: 12/7)

Exact Answer

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Problem: Simplify 120/70 to Lowest Terms
Formula / Expression: 120/70 = 12/7
Final Answer: 1 5/7 (12/7)
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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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70
Working: GCD(120, 70) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (120) and denominator (70) by 10.
Working: 120 ÷ 10/70 ÷ 10 = 12/7

Step 3: Convert Improper Fraction to a Mixed Number
Because 12 is larger than 7, 12/7 can also be written as the mixed number 1 5/7.
Working: 12/7 = 1 5/7

Key Values:
- Simplified Fraction: 12/7
- Mixed Number Form: 1 5/7
- Decimal Value: 1.714286
- Percentage: 171.4286%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-120-70/
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120/70 = 12/7

Simplified Fraction

12/7

Mixed Number

1 5/7

Decimal Value

1.714286

Percentage

171.4286%

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Step-by-Step Solution: 120/70 = 12/7

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

GCD(120, 70) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (120) and denominator (70) by 10.

120 ÷ 10/70 ÷ 10 = 12/7

Step 3

Convert Improper Fraction to a Mixed Number

Because 12 is larger than 7, 12/7 can also be written as the mixed number 1 5/7.

12/7 = 15/7

Visual Representation

The diagram below illustrates Simplify 120/70 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`12/7`
Mixed Number Form	`1 5/7`
Decimal Form	`1.714286`
Percentage	`171.4286%`

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Frequently Asked Questions

What is 120/70 in simplest form?

120/70 simplified to lowest terms is 12/7.

What is the GCD (GCF) of 120 and 70?

The Greatest Common Divisor (GCD) of 120 and 70 is 10.

What are equivalent fractions to 120/70?

Equivalent fractions to 120/70 include 24/14, 36/21, and 48/28.