Simplify 728/742 to Lowest Terms
728/742 simplified to its lowest terms is 52/53 (or 0.981132 in decimal). See how to reduce 728/742 using Greatest Common Divisor (GCD = 14).
Exact Answer
728/742 = 52/53
Simplified Fraction
52/53
Mixed Number
Proper (52/53)
Decimal Value
0.981132
Percentage
98.1132%
Step-by-Step Solution: 728/742 = 52/53
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 728:
• Factors of 742:
• Factors of 728:
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728• Factors of 742:
1, 2, 7, 14, 53, 106, 371, 742
GCD(728, 742) = 14
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (728) and denominator (742) by 14.
728 ÷ 14/742 ÷ 14 = 52/53
Visual Representation
The diagram below illustrates Simplify 728/742 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 52/53 |
| Mixed Number Form | 52/53 |
| Decimal Form | 0.981132 |
| Percentage | 98.1132% |
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Frequently Asked Questions
What is 728/742 in simplest form?
728/742 simplified to lowest terms is 52/53.
What is the GCD (GCF) of 728 and 742?
The Greatest Common Divisor (GCD) of 728 and 742 is 14.
What are equivalent fractions to 728/742?
Equivalent fractions to 728/742 include 104/106, 156/159, and 208/212.