What is 4/10 divided by 9/21?
4/10 divided by 9/21 equals 14/15 (or 0.933333 in decimal form). Learn the step-by-step solution to divide 4/10 and 9/21 using Least Common Denominator and simplification.
Exact Answer
4/10 ÷ 9/21 = 14/15
Simplified Fraction
14/15
Mixed Number
Proper (14/15)
Decimal Value
0.933333
Percentage
93.3333%
Step-by-Step Solution: 4/10 ÷ 9/21
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 9/21 to get 21/9.
4/10 ÷ 9/21 = 4/10 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (4 × 21 = 84) and denominators (10 × 9 = 90).
4 × 21/10 × 9 = 84/90
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 84 and 90, which is 6. Divide both the numerator and denominator by 6.
84 ÷ 6/90 ÷ 6 = 14/15
Step 4
Decimal & Percentage Representation
Dividing the numerator 14 by denominator 15 produces a repeating decimal (approximately 0.933333, or 93.3333%).
14 ÷ 15 = 0.933333 (93.3333%)
Visual Representation
The diagram below illustrates 4/10 divided by 9/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 14/15 |
| Mixed Number Form | 14/15 |
| Decimal Form | 0.933333 |
| Percentage | 93.3333% |
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Frequently Asked Questions
What is 4/10 divided by 9/21 as a fraction?
4/10 ÷ 9/21 in simplest fraction form is 14/15.
What is 4/10 divided by 9/21 as a decimal?
4/10 ÷ 9/21 converted to a decimal is 0.933333.
What is 4/10 divided by 9/21 as a percentage?
4/10 ÷ 9/21 expressed as a percentage is 93.3333%.
Does 4/10 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.933333...) because the denominator contains prime factors other than 2 and 5.