What is 2/16 divided by 7/21?
2/16 divided by 7/21 equals 3/8 (or 0.375 in decimal form). Learn the step-by-step solution to divide 2/16 and 7/21 using Least Common Denominator and simplification.
Exact Answer
2/16 ÷ 7/21 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 2/16 ÷ 7/21
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 7/21 to get 21/7.
2/16 ÷ 7/21 = 2/16 × 21/7
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (16 × 7 = 112).
2 × 21/16 × 7 = 42/112
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 112, which is 14. Divide both the numerator and denominator by 14.
42 ÷ 14/112 ÷ 14 = 3/8
Step 4
Decimal & Percentage Representation
Dividing the numerator 3 by denominator 8 yields an exact terminating decimal of 0.375 (or 37.5%).
3 ÷ 8 = 0.375 (37.5%)
Visual Representation
The diagram below illustrates 2/16 divided by 7/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 2/16 divided by 7/21 as a fraction?
2/16 ÷ 7/21 in simplest fraction form is 3/8.
What is 2/16 divided by 7/21 as a decimal?
2/16 ÷ 7/21 converted to a decimal is 0.375.
What is 2/16 divided by 7/21 as a percentage?
2/16 ÷ 7/21 expressed as a percentage is 37.5%.
Does 2/16 divided by 7/21 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.375) because the denominator in simplest terms contains only prime factors 2 and/or 5.