Simplify 74/84 to Lowest Terms
74/84 simplified to its lowest terms is 37/42 (or 0.880952 in decimal). See how to reduce 74/84 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/84 = 37/42
Simplified Fraction
37/42
Mixed Number
Proper (37/42)
Decimal Value
0.880952
Percentage
88.0952%
Step-by-Step Solution: 74/84 = 37/42
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 84:
• Factors of 74:
1, 2, 37, 74• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(74, 84) = 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 (84) by 2.
74 ÷ 2/84 ÷ 2 = 37/42
Visual Representation
The diagram below illustrates Simplify 74/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/42 |
| Mixed Number Form | 37/42 |
| Decimal Form | 0.880952 |
| Percentage | 88.0952% |
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Frequently Asked Questions
What is 74/84 in simplest form?
74/84 simplified to lowest terms is 37/42.
What is the GCD (GCF) of 74 and 84?
The Greatest Common Divisor (GCD) of 74 and 84 is 2.
What are equivalent fractions to 74/84?
Equivalent fractions to 74/84 include 74/84, 111/126, and 148/168.