What is 216/294 Simplified? (Reduce 216/294 to Lowest Terms: 36/49)

Exact Answer

216/294 = 36/49

Simplified Fraction

36/49

Mixed Number

Proper (36/49)

Decimal Value

0.734694

Percentage

73.4694%

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Step-by-Step Solution: 216/294 = 36/49

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
• Factors of 294: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD(216, 294) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (216) and denominator (294) by 6.

216 ÷ 6/294 ÷ 6 = 36/49

Visual Representation

The diagram below illustrates Simplify 216/294 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`36/49`
Mixed Number Form	`36/49`
Decimal Form	`0.734694`
Percentage	`73.4694%`

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Frequently Asked Questions

What is 216/294 in simplest form?

216/294 simplified to lowest terms is 36/49.

What is the GCD (GCF) of 216 and 294?

The Greatest Common Divisor (GCD) of 216 and 294 is 6.

What are equivalent fractions to 216/294?

Equivalent fractions to 216/294 include 72/98, 108/147, and 144/196.