Simplify 708/642 to Lowest Terms
708/642 simplified to its lowest terms is 118/107 (or 1.102804 in decimal). See how to reduce 708/642 using Greatest Common Divisor (GCD = 6).
Exact Answer
708/642 = 118/107
Simplified Fraction
118/107
Mixed Number
1 11/107
Decimal Value
1.102804
Percentage
110.2804%
Step-by-Step Solution: 708/642 = 118/107
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 708:
โข Factors of 642:
โข Factors of 708:
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708โข Factors of 642:
1, 2, 3, 6, 107, 214, 321, 642
GCD(708, 642) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (708) and denominator (642) by 6.
708 รท 6/642 รท 6 = 118/107
Step 3
Convert Improper Fraction to a Mixed Number
Because 118 is larger than 107, 118/107 can also be written as the mixed number 1 11/107.
118/107 = 111/107
Visual Representation
The diagram below illustrates Simplify 708/642 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 118/107 |
| Mixed Number Form | 1 11/107 |
| Decimal Form | 1.102804 |
| Percentage | 110.2804% |
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Frequently Asked Questions
What is 708/642 in simplest form?
708/642 simplified to lowest terms is 118/107.
What is the GCD (GCF) of 708 and 642?
The Greatest Common Divisor (GCD) of 708 and 642 is 6.
What are equivalent fractions to 708/642?
Equivalent fractions to 708/642 include 236/214, 354/321, and 472/428.