Simplify 420/610 to Lowest Terms
420/610 simplified to its lowest terms is 42/61 (or 0.688525 in decimal). See how to reduce 420/610 using Greatest Common Divisor (GCD = 10).
Exact Answer
420/610 = 42/61
Simplified Fraction
42/61
Mixed Number
Proper (42/61)
Decimal Value
0.688525
Percentage
68.8525%
Step-by-Step Solution: 420/610 = 42/61
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 420:
• Factors of 610:
• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35• Factors of 610:
1, 2, 5, 10, 61, 122, 305, 610
GCD(420, 610) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (420) and denominator (610) by 10.
420 ÷ 10/610 ÷ 10 = 42/61
Visual Representation
The diagram below illustrates Simplify 420/610 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 42/61 |
| Mixed Number Form | 42/61 |
| Decimal Form | 0.688525 |
| Percentage | 68.8525% |
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Frequently Asked Questions
What is 420/610 in simplest form?
420/610 simplified to lowest terms is 42/61.
What is the GCD (GCF) of 420 and 610?
The Greatest Common Divisor (GCD) of 420 and 610 is 10.
What are equivalent fractions to 420/610?
Equivalent fractions to 420/610 include 84/122, 126/183, and 168/244.