7/10 Divided by 5/10
Dividing fractions can seem tricky, but it's actually quite simple once you understand the concept. Here's how to divide 7/10 by 5/10:
Understanding the Concept
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is simply flipping the numerator and denominator.
For example, the reciprocal of 5/10 is 10/5.
Solving the Problem
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Find the reciprocal of the second fraction (the divisor): The reciprocal of 5/10 is 10/5.
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Multiply the first fraction (the dividend) by the reciprocal of the second fraction: (7/10) * (10/5)
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Simplify: Before multiplying, we can simplify by canceling out common factors: (7/1) * (1/5)
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Multiply the numerators and the denominators: (7 * 1) / (1 * 5) = 7/5
The Answer
Therefore, 7/10 divided by 5/10 is equal to 7/5.
Converting to a Mixed Number
You can also express the answer as a mixed number: 7/5 is equal to 1 2/5.
