Simplify 5688/6750 to Lowest Terms
5688/6750 simplified to its lowest terms is 316/375 (or 0.842667 in decimal). See how to reduce 5688/6750 using Greatest Common Divisor (GCD = 18).
Exact Answer
5688/6750 = 316/375
Simplified Fraction
316/375
Mixed Number
Proper (316/375)
Decimal Value
0.842667
Percentage
84.2667%
Step-by-Step Solution: 5688/6750 = 316/375
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 5688:
• Factors of 6750:
• Factors of 5688:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316• Factors of 6750:
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
GCD(5688, 6750) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (5688) and denominator (6750) by 18.
5688 ÷ 18/6750 ÷ 18 = 316/375
Visual Representation
The diagram below illustrates Simplify 5688/6750 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 316/375 |
| Mixed Number Form | 316/375 |
| Decimal Form | 0.842667 |
| Percentage | 84.2667% |
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Frequently Asked Questions
What is 5688/6750 in simplest form?
5688/6750 simplified to lowest terms is 316/375.
What is the GCD (GCF) of 5688 and 6750?
The Greatest Common Divisor (GCD) of 5688 and 6750 is 18.
What are equivalent fractions to 5688/6750?
Equivalent fractions to 5688/6750 include 632/750, 948/1125, and 1264/1500.