What is 952/680 Simplified? (Reduce 952/680 to Lowest Terms: 7/5)

Exact Answer

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Problem: Simplify 952/680 to Lowest Terms
Formula / Expression: 952/680 = 7/5
Final Answer: 1 2/5 (7/5)
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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 952: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
• Factors of 680: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Working: GCD(952, 680) = 136

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 136. Divide both the numerator (952) and denominator (680) by 136.
Working: 952 ÷ 136/680 ÷ 136 = 7/5

Step 3: Convert Improper Fraction to a Mixed Number
Because 7 is larger than 5, 7/5 can also be written as the mixed number 1 2/5.
Working: 7/5 = 1 2/5

Key Values:
- Simplified Fraction: 7/5
- Mixed Number Form: 1 2/5
- Decimal Value: 1.4
- Percentage: 140%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-952-680/
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952/680 = 7/5

Simplified Fraction

7/5

Mixed Number

1 2/5

Decimal Value

1.4

Percentage

140%

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Step-by-Step Solution: 952/680 = 7/5

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 952: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
• Factors of 680: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD(952, 680) = 136

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 136. Divide both the numerator (952) and denominator (680) by 136.

952 ÷ 136/680 ÷ 136 = 7/5

Step 3

Convert Improper Fraction to a Mixed Number

Because 7 is larger than 5, 7/5 can also be written as the mixed number 1 2/5.

7/5 = 12/5

Visual Representation

The diagram below illustrates Simplify 952/680 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/5`
Mixed Number Form	`1 2/5`
Decimal Form	`1.4`
Percentage	`140%`

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Frequently Asked Questions

What is 952/680 in simplest form?

952/680 simplified to lowest terms is 7/5.

What is the GCD (GCF) of 952 and 680?

The Greatest Common Divisor (GCD) of 952 and 680 is 136.

What are equivalent fractions to 952/680?

Equivalent fractions to 952/680 include 14/10, 21/15, and 28/20.