What is 70/200 Simplified? (Reduce 70/200 to Lowest Terms: 7/20)

Exact Answer

70/200 = 7/20

Simplified Fraction

7/20

Mixed Number

Proper (7/20)

Decimal Value

0.35

Percentage

35%

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Step-by-Step Solution: 70/200 = 7/20

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD(70, 200) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (70) and denominator (200) by 10.

70 ÷ 10/200 ÷ 10 = 7/20

Visual Representation

The diagram below illustrates Simplify 70/200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/20`
Mixed Number Form	`7/20`
Decimal Form	`0.35`
Percentage	`35%`

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Frequently Asked Questions

What is 70/200 in simplest form?

70/200 simplified to lowest terms is 7/20.

What is the GCD (GCF) of 70 and 200?

The Greatest Common Divisor (GCD) of 70 and 200 is 10.

What are equivalent fractions to 70/200?

Equivalent fractions to 70/200 include 14/40, 21/60, and 28/80.