What is 560/742 Simplified? (Reduce 560/742 to Lowest Terms: 40/53)

Exact Answer

560/742 = 40/53

Simplified Fraction

40/53

Mixed Number

Proper (40/53)

Decimal Value

0.754717

Percentage

75.4717%

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Step-by-Step Solution: 560/742 = 40/53

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 560: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742

GCD(560, 742) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (560) and denominator (742) by 14.

560 ÷ 14/742 ÷ 14 = 40/53

Visual Representation

The diagram below illustrates Simplify 560/742 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`40/53`
Mixed Number Form	`40/53`
Decimal Form	`0.754717`
Percentage	`75.4717%`

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Frequently Asked Questions

What is 560/742 in simplest form?

560/742 simplified to lowest terms is 40/53.

What is the GCD (GCF) of 560 and 742?

The Greatest Common Divisor (GCD) of 560 and 742 is 14.

What are equivalent fractions to 560/742?

Equivalent fractions to 560/742 include 80/106, 120/159, and 160/212.