What is 1200/790 Simplified? (Reduce 1200/790 to Lowest Terms: 120/79)

Exact Answer

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Problem: Simplify 1200/790 to Lowest Terms
Formula / Expression: 1200/790 = 120/79
Final Answer: 1 41/79 (120/79)
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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 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 790: 1, 2, 5, 10, 79, 158, 395, 790
Working: GCD(1200, 790) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1200) and denominator (790) by 10.
Working: 1200 ÷ 10/790 ÷ 10 = 120/79

Step 3: Convert Improper Fraction to a Mixed Number
Because 120 is larger than 79, 120/79 can also be written as the mixed number 1 41/79.
Working: 120/79 = 1 41/79

Key Values:
- Simplified Fraction: 120/79
- Mixed Number Form: 1 41/79
- Decimal Value: 1.518987
- Percentage: 151.8987%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1200-790/
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1200/790 = 120/79

Simplified Fraction

120/79

Mixed Number

1 41/79

Decimal Value

1.518987

Percentage

151.8987%

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Step-by-Step Solution: 1200/790 = 120/79

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 790: 1, 2, 5, 10, 79, 158, 395, 790

GCD(1200, 790) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1200) and denominator (790) by 10.

1200 ÷ 10/790 ÷ 10 = 120/79

Step 3

Convert Improper Fraction to a Mixed Number

Because 120 is larger than 79, 120/79 can also be written as the mixed number 1 41/79.

120/79 = 141/79

Visual Representation

The diagram below illustrates Simplify 1200/790 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`120/79`
Mixed Number Form	`1 41/79`
Decimal Form	`1.518987`
Percentage	`151.8987%`

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Frequently Asked Questions

What is 1200/790 in simplest form?

1200/790 simplified to lowest terms is 120/79.

What is the GCD (GCF) of 1200 and 790?

The Greatest Common Divisor (GCD) of 1200 and 790 is 10.

What are equivalent fractions to 1200/790?

Equivalent fractions to 1200/790 include 240/158, 360/237, and 480/316.