What is 1170/720 Simplified? (Reduce 1170/720 to Lowest Terms: 13/8)

Exact Answer

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Problem: Simplify 1170/720 to Lowest Terms
Formula / Expression: 1170/720 = 13/8
Final Answer: 1 5/8 (13/8)
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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 1170: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
Working: GCD(1170, 720) = 90

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 90. Divide both the numerator (1170) and denominator (720) by 90.
Working: 1170 ÷ 90/720 ÷ 90 = 13/8

Step 3: Convert Improper Fraction to a Mixed Number
Because 13 is larger than 8, 13/8 can also be written as the mixed number 1 5/8.
Working: 13/8 = 1 5/8

Key Values:
- Simplified Fraction: 13/8
- Mixed Number Form: 1 5/8
- Decimal Value: 1.625
- Percentage: 162.5%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1170-720/
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1170/720 = 13/8

Simplified Fraction

13/8

Mixed Number

1 5/8

Decimal Value

1.625

Percentage

162.5%

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Step-by-Step Solution: 1170/720 = 13/8

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1170: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(1170, 720) = 90

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 90. Divide both the numerator (1170) and denominator (720) by 90.

1170 ÷ 90/720 ÷ 90 = 13/8

Step 3

Convert Improper Fraction to a Mixed Number

Because 13 is larger than 8, 13/8 can also be written as the mixed number 1 5/8.

13/8 = 15/8

Visual Representation

The diagram below illustrates Simplify 1170/720 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/8`
Mixed Number Form	`1 5/8`
Decimal Form	`1.625`
Percentage	`162.5%`

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Frequently Asked Questions

What is 1170/720 in simplest form?

1170/720 simplified to lowest terms is 13/8.

What is the GCD (GCF) of 1170 and 720?

The Greatest Common Divisor (GCD) of 1170 and 720 is 90.

What are equivalent fractions to 1170/720?

Equivalent fractions to 1170/720 include 26/16, 39/24, and 52/32.