Simplify 48/84 to Lowest Terms
48/84 simplified to its lowest terms is 4/7 (or 0.571429 in decimal). See how to reduce 48/84 using Greatest Common Divisor (GCD = 12).
Exact Answer
48/84 = 4/7
Simplified Fraction
4/7
Mixed Number
Proper (4/7)
Decimal Value
0.571429
Percentage
57.1429%
Step-by-Step Solution: 48/84 = 4/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 84:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(48, 84) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (48) and denominator (84) by 12.
48 ÷ 12/84 ÷ 12 = 4/7
Visual Representation
The diagram below illustrates Simplify 48/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/7 |
| Mixed Number Form | 4/7 |
| Decimal Form | 0.571429 |
| Percentage | 57.1429% |
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Frequently Asked Questions
What is 48/84 in simplest form?
48/84 simplified to lowest terms is 4/7.
What is the GCD (GCF) of 48 and 84?
The Greatest Common Divisor (GCD) of 48 and 84 is 12.
What are equivalent fractions to 48/84?
Equivalent fractions to 48/84 include 8/14, 12/21, and 16/28.