What is 280/742 Simplified? (Reduce 280/742 to Lowest Terms: 20/53)

Exact Answer

280/742 = 20/53

Simplified Fraction

20/53

Mixed Number

Proper (20/53)

Decimal Value

0.377358

Percentage

37.7358%

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Step-by-Step Solution: 280/742 = 20/53

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 280: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742

GCD(280, 742) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (280) and denominator (742) by 14.

280 ÷ 14/742 ÷ 14 = 20/53

Visual Representation

The diagram below illustrates Simplify 280/742 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`20/53`
Mixed Number Form	`20/53`
Decimal Form	`0.377358`
Percentage	`37.7358%`

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Frequently Asked Questions

What is 280/742 in simplest form?

280/742 simplified to lowest terms is 20/53.

What is the GCD (GCF) of 280 and 742?

The Greatest Common Divisor (GCD) of 280 and 742 is 14.

What are equivalent fractions to 280/742?

Equivalent fractions to 280/742 include 40/106, 60/159, and 80/212.