Simplify 40/84 to Lowest Terms
40/84 simplified to its lowest terms is 10/21 (or 0.47619 in decimal). See how to reduce 40/84 using Greatest Common Divisor (GCD = 4).
Exact Answer
40/84 = 10/21
Simplified Fraction
10/21
Mixed Number
Proper (10/21)
Decimal Value
0.47619
Percentage
47.619%
Step-by-Step Solution: 40/84 = 10/21
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 40:
• Factors of 84:
• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(40, 84) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (40) and denominator (84) by 4.
40 ÷ 4/84 ÷ 4 = 10/21
Visual Representation
The diagram below illustrates Simplify 40/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 10/21 |
| Mixed Number Form | 10/21 |
| Decimal Form | 0.47619 |
| Percentage | 47.619% |
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Frequently Asked Questions
What is 40/84 in simplest form?
40/84 simplified to lowest terms is 10/21.
What is the GCD (GCF) of 40 and 84?
The Greatest Common Divisor (GCD) of 40 and 84 is 4.
What are equivalent fractions to 40/84?
Equivalent fractions to 40/84 include 20/42, 30/63, and 40/84.