Simplify 752/588 to Lowest Terms
752/588 simplified to its lowest terms is 188/147 (or 1.278912 in decimal). See how to reduce 752/588 using Greatest Common Divisor (GCD = 4).
Exact Answer
752/588 = 188/147
Simplified Fraction
188/147
Mixed Number
1 41/147
Decimal Value
1.278912
Percentage
127.8912%
Step-by-Step Solution: 752/588 = 188/147
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 752:
โข Factors of 588:
โข Factors of 752:
1, 2, 4, 8, 16, 47, 94, 188, 376, 752โข Factors of 588:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196
GCD(752, 588) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (752) and denominator (588) by 4.
752 รท 4/588 รท 4 = 188/147
Step 3
Convert Improper Fraction to a Mixed Number
Because 188 is larger than 147, 188/147 can also be written as the mixed number 1 41/147.
188/147 = 141/147
Visual Representation
The diagram below illustrates Simplify 752/588 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 188/147 |
| Mixed Number Form | 1 41/147 |
| Decimal Form | 1.278912 |
| Percentage | 127.8912% |
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Frequently Asked Questions
What is 752/588 in simplest form?
752/588 simplified to lowest terms is 188/147.
What is the GCD (GCF) of 752 and 588?
The Greatest Common Divisor (GCD) of 752 and 588 is 4.
What are equivalent fractions to 752/588?
Equivalent fractions to 752/588 include 376/294, 564/441, and 752/588.