What is 1120/952 Simplified? (Reduce 1120/952 to Lowest Terms: 20/17)

Exact Answer

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Problem: Simplify 1120/952 to Lowest Terms
Formula / Expression: 1120/952 = 20/17
Final Answer: 1 3/17 (20/17)
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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 952: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Working: GCD(1120, 952) = 56

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 56. Divide both the numerator (1120) and denominator (952) by 56.
Working: 1120 ÷ 56/952 ÷ 56 = 20/17

Step 3: Convert Improper Fraction to a Mixed Number
Because 20 is larger than 17, 20/17 can also be written as the mixed number 1 3/17.
Working: 20/17 = 1 3/17

Key Values:
- Simplified Fraction: 20/17
- Mixed Number Form: 1 3/17
- Decimal Value: 1.176471
- Percentage: 117.6471%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1120-952/
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1120/952 = 20/17

Simplified Fraction

20/17

Mixed Number

1 3/17

Decimal Value

1.176471

Percentage

117.6471%

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Step-by-Step Solution: 1120/952 = 20/17

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 952: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD(1120, 952) = 56

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 56. Divide both the numerator (1120) and denominator (952) by 56.

1120 ÷ 56/952 ÷ 56 = 20/17

Step 3

Convert Improper Fraction to a Mixed Number

Because 20 is larger than 17, 20/17 can also be written as the mixed number 1 3/17.

20/17 = 13/17

Visual Representation

The diagram below illustrates Simplify 1120/952 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`20/17`
Mixed Number Form	`1 3/17`
Decimal Form	`1.176471`
Percentage	`117.6471%`

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Frequently Asked Questions

What is 1120/952 in simplest form?

1120/952 simplified to lowest terms is 20/17.

What is the GCD (GCF) of 1120 and 952?

The Greatest Common Divisor (GCD) of 1120 and 952 is 56.

What are equivalent fractions to 1120/952?

Equivalent fractions to 1120/952 include 40/34, 60/51, and 80/68.