What is 1680/1742 Simplified? (Reduce 1680/1742 to Lowest Terms: 840/871)

Exact Answer

1680/1742 = 840/871

Simplified Fraction

840/871

Mixed Number

Proper (840/871)

Decimal Value

0.964409

Percentage

96.4409%

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Step-by-Step Solution: 1680/1742 = 840/871

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1680: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
• Factors of 1742: 1, 2, 13, 26, 67, 134, 871, 1742

GCD(1680, 1742) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1680) and denominator (1742) by 2.

1680 ÷ 2/1742 ÷ 2 = 840/871

Visual Representation

The diagram below illustrates Simplify 1680/1742 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`840/871`
Mixed Number Form	`840/871`
Decimal Form	`0.964409`
Percentage	`96.4409%`

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Frequently Asked Questions

What is 1680/1742 in simplest form?

1680/1742 simplified to lowest terms is 840/871.

What is the GCD (GCF) of 1680 and 1742?

The Greatest Common Divisor (GCD) of 1680 and 1742 is 2.

What are equivalent fractions to 1680/1742?

Equivalent fractions to 1680/1742 include 1680/1742, 2520/2613, and 3360/3484.