Simplify 74/420 to Lowest Terms
74/420 simplified to its lowest terms is 37/210 (or 0.17619 in decimal). See how to reduce 74/420 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/420 = 37/210
Simplified Fraction
37/210
Mixed Number
Proper (37/210)
Decimal Value
0.17619
Percentage
17.619%
Step-by-Step Solution: 74/420 = 37/210
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 420:
• Factors of 74:
1, 2, 37, 74• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(74, 420) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (420) by 2.
74 ÷ 2/420 ÷ 2 = 37/210
Visual Representation
The diagram below illustrates Simplify 74/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/210 |
| Mixed Number Form | 37/210 |
| Decimal Form | 0.17619 |
| Percentage | 17.619% |
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Frequently Asked Questions
What is 74/420 in simplest form?
74/420 simplified to lowest terms is 37/210.
What is the GCD (GCF) of 74 and 420?
The Greatest Common Divisor (GCD) of 74 and 420 is 2.
What are equivalent fractions to 74/420?
Equivalent fractions to 74/420 include 74/420, 111/630, and 148/840.