Simplify 88/420 to Lowest Terms
88/420 simplified to its lowest terms is 22/105 (or 0.209524 in decimal). See how to reduce 88/420 using Greatest Common Divisor (GCD = 4).
Exact Answer
88/420 = 22/105
Simplified Fraction
22/105
Mixed Number
Proper (22/105)
Decimal Value
0.209524
Percentage
20.9524%
Step-by-Step Solution: 88/420 = 22/105
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 88:
• Factors of 420:
• Factors of 88:
1, 2, 4, 8, 11, 22, 44, 88• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(88, 420) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (88) and denominator (420) by 4.
88 ÷ 4/420 ÷ 4 = 22/105
Visual Representation
The diagram below illustrates Simplify 88/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 22/105 |
| Mixed Number Form | 22/105 |
| Decimal Form | 0.209524 |
| Percentage | 20.9524% |
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Frequently Asked Questions
What is 88/420 in simplest form?
88/420 simplified to lowest terms is 22/105.
What is the GCD (GCF) of 88 and 420?
The Greatest Common Divisor (GCD) of 88 and 420 is 4.
What are equivalent fractions to 88/420?
Equivalent fractions to 88/420 include 44/210, 66/315, and 88/420.