Simplify 138/696 to Lowest Terms
138/696 simplified to its lowest terms is 23/116 (or 0.198276 in decimal). See how to reduce 138/696 using Greatest Common Divisor (GCD = 6).
Exact Answer
138/696 = 23/116
Simplified Fraction
23/116
Mixed Number
Proper (23/116)
Decimal Value
0.198276
Percentage
19.8276%
Step-by-Step Solution: 138/696 = 23/116
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 138:
โข Factors of 696:
โข Factors of 138:
1, 2, 3, 6, 23, 46, 69, 138โข Factors of 696:
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD(138, 696) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (138) and denominator (696) by 6.
138 รท 6/696 รท 6 = 23/116
Visual Representation
The diagram below illustrates Simplify 138/696 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 23/116 |
| Mixed Number Form | 23/116 |
| Decimal Form | 0.198276 |
| Percentage | 19.8276% |
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Frequently Asked Questions
What is 138/696 in simplest form?
138/696 simplified to lowest terms is 23/116.
What is the GCD (GCF) of 138 and 696?
The Greatest Common Divisor (GCD) of 138 and 696 is 6.
What are equivalent fractions to 138/696?
Equivalent fractions to 138/696 include 46/232, 69/348, and 92/464.