What is 2/8 divided by 8/21?
2/8 divided by 8/21 equals 21/32 (or 0.65625 in decimal form). Learn the step-by-step solution to divide 2/8 and 8/21 using Least Common Denominator and simplification.
Exact Answer
2/8 ÷ 8/21 = 21/32
Simplified Fraction
21/32
Mixed Number
Proper (21/32)
Decimal Value
0.65625
Percentage
65.625%
Step-by-Step Solution: 2/8 ÷ 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.
2/8 ÷ 8/21 = 2/8 × 21/8
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (8 × 8 = 64).
2 × 21/8 × 8 = 42/64
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 64, which is 2. Divide both the numerator and denominator by 2.
42 ÷ 2/64 ÷ 2 = 21/32
Step 4
Decimal & Percentage Representation
Dividing the numerator 21 by denominator 32 yields an exact terminating decimal of 0.65625 (or 65.625%).
21 ÷ 32 = 0.65625 (65.625%)
Visual Representation
The diagram below illustrates 2/8 divided by 8/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/32 |
| Mixed Number Form | 21/32 |
| Decimal Form | 0.65625 |
| Percentage | 65.625% |
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Frequently Asked Questions
What is 2/8 divided by 8/21 as a fraction?
2/8 ÷ 8/21 in simplest fraction form is 21/32.
What is 2/8 divided by 8/21 as a decimal?
2/8 ÷ 8/21 converted to a decimal is 0.65625.
What is 2/8 divided by 8/21 as a percentage?
2/8 ÷ 8/21 expressed as a percentage is 65.625%.
Does 2/8 divided by 8/21 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.65625) because the denominator in simplest terms contains only prime factors 2 and/or 5.