Simplify 84/112 to Lowest Terms
84/112 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 84/112 using Greatest Common Divisor (GCD = 28).
Exact Answer
84/112 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 84/112 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 112:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 112:
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD(84, 112) = 28
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 28. Divide both the numerator (84) and denominator (112) by 28.
84 ÷ 28/112 ÷ 28 = 3/4
Visual Representation
The diagram below illustrates Simplify 84/112 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 84/112 in simplest form?
84/112 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 84 and 112?
The Greatest Common Divisor (GCD) of 84 and 112 is 28.
What are equivalent fractions to 84/112?
Equivalent fractions to 84/112 include 6/8, 9/12, and 12/16.