What is 2/7 divided by 10/21?
2/7 divided by 10/21 equals 3/5 (or 0.6 in decimal form). Learn the step-by-step solution to divide 2/7 and 10/21 using Least Common Denominator and simplification.
Exact Answer
2/7 ÷ 10/21 = 3/5
Simplified Fraction
3/5
Mixed Number
Proper (3/5)
Decimal Value
0.6
Percentage
60%
Step-by-Step Solution: 2/7 ÷ 10/21
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 10/21 to get 21/10.
2/7 ÷ 10/21 = 2/7 × 21/10
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (7 × 10 = 70).
2 × 21/7 × 10 = 42/70
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 70, which is 14. Divide both the numerator and denominator by 14.
42 ÷ 14/70 ÷ 14 = 3/5
Step 4
Decimal & Percentage Representation
Dividing the numerator 3 by denominator 5 yields an exact terminating decimal of 0.6 (or 60%).
3 ÷ 5 = 0.6 (60%)
Visual Representation
The diagram below illustrates 2/7 divided by 10/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/5 |
| Mixed Number Form | 3/5 |
| Decimal Form | 0.6 |
| Percentage | 60% |
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Frequently Asked Questions
What is 2/7 divided by 10/21 as a fraction?
2/7 ÷ 10/21 in simplest fraction form is 3/5.
What is 2/7 divided by 10/21 as a decimal?
2/7 ÷ 10/21 converted to a decimal is 0.6.
What is 2/7 divided by 10/21 as a percentage?
2/7 ÷ 10/21 expressed as a percentage is 60%.
Does 2/7 divided by 10/21 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.6) because the denominator in simplest terms contains only prime factors 2 and/or 5.