What is 2/7 divided by 8/21?
2/7 divided by 8/21 equals 3/4 (or 0.75 in decimal form). Learn the step-by-step solution to divide 2/7 and 8/21 using Least Common Denominator and simplification.
Exact Answer
2/7 ÷ 8/21 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 2/7 ÷ 8/21
Step 1
Find the Reciprocal of the Second Fraction
Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 8/21 to get 21/8.
2/7 ÷ 8/21 = 2/7 × 21/8
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (7 × 8 = 56).
2 × 21/7 × 8 = 42/56
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 56, which is 14. Divide both the numerator and denominator by 14.
42 ÷ 14/56 ÷ 14 = 3/4
Step 4
Decimal & Percentage Representation
Dividing the numerator 3 by denominator 4 yields an exact terminating decimal of 0.75 (or 75%).
3 ÷ 4 = 0.75 (75%)
Visual Representation
The diagram below illustrates 2/7 divided by 8/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 2/7 divided by 8/21 as a fraction?
2/7 ÷ 8/21 in simplest fraction form is 3/4.
What is 2/7 divided by 8/21 as a decimal?
2/7 ÷ 8/21 converted to a decimal is 0.75.
What is 2/7 divided by 8/21 as a percentage?
2/7 ÷ 8/21 expressed as a percentage is 75%.
Does 2/7 divided by 8/21 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.75) because the denominator in simplest terms contains only prime factors 2 and/or 5.