Simplify 74/96 to Lowest Terms
74/96 simplified to its lowest terms is 37/48 (or 0.770833 in decimal). See how to reduce 74/96 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/96 = 37/48
Simplified Fraction
37/48
Mixed Number
Proper (37/48)
Decimal Value
0.770833
Percentage
77.0833%
Step-by-Step Solution: 74/96 = 37/48
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 74:
โข Factors of 96:
โข Factors of 74:
1, 2, 37, 74โข Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD(74, 96) = 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 (96) by 2.
74 รท 2/96 รท 2 = 37/48
Visual Representation
The diagram below illustrates Simplify 74/96 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/48 |
| Mixed Number Form | 37/48 |
| Decimal Form | 0.770833 |
| Percentage | 77.0833% |
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Frequently Asked Questions
What is 74/96 in simplest form?
74/96 simplified to lowest terms is 37/48.
What is the GCD (GCF) of 74 and 96?
The Greatest Common Divisor (GCD) of 74 and 96 is 2.
What are equivalent fractions to 74/96?
Equivalent fractions to 74/96 include 74/96, 111/144, and 148/192.