Simplify 756/1680 to Lowest Terms
756/1680 simplified to its lowest terms is 9/20 (or 0.45 in decimal). See how to reduce 756/1680 using Greatest Common Divisor (GCD = 84).
Exact Answer
756/1680 = 9/20
Simplified Fraction
9/20
Mixed Number
Proper (9/20)
Decimal Value
0.45
Percentage
45%
Step-by-Step Solution: 756/1680 = 9/20
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 756:
โข Factors of 1680:
โข Factors of 756:
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54โข Factors of 1680:
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
GCD(756, 1680) = 84
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 84. Divide both the numerator (756) and denominator (1680) by 84.
756 รท 84/1680 รท 84 = 9/20
Visual Representation
The diagram below illustrates Simplify 756/1680 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/20 |
| Mixed Number Form | 9/20 |
| Decimal Form | 0.45 |
| Percentage | 45% |
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Frequently Asked Questions
What is 756/1680 in simplest form?
756/1680 simplified to lowest terms is 9/20.
What is the GCD (GCF) of 756 and 1680?
The Greatest Common Divisor (GCD) of 756 and 1680 is 84.
What are equivalent fractions to 756/1680?
Equivalent fractions to 756/1680 include 18/40, 27/60, and 36/80.