Easy Math: 6 Divided By 3/5 Explained

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Easy math problems can sometimes become tricky when fractions are involved. One such problem is 6 divided by 3/5. This problem involves a division operation with a fraction, which can be confusing for some people. In this article, we will explain the steps to solve this problem and provide examples to make it clearer.

Mathematical Operations with Fractions

When working with fractions, it's essential to understand the different operations that can be performed. Fractions can be added, subtracted, multiplied, and divided, just like whole numbers. However, the rules for these operations are slightly different.

To divide a number by a fraction, we need to follow a specific rule. This rule states that to divide a number by a fraction, we need to multiply the number by the reciprocal of the fraction. The reciprocal of a fraction is obtained by flipping the numerator and denominator.

For example, the reciprocal of 3/5 is 5/3.

Solving 6 Divided by 3/5

Now that we know the rule for dividing a number by a fraction, let's apply it to our problem. We need to find the result of 6 divided by 3/5.

To do this, we will multiply 6 by the reciprocal of 3/5, which is 5/3.

6 ÷ 3/5 = 6 × 5/3

To multiply a number by a fraction, we need to multiply the number by the numerator and then divide by the denominator.

6 × 5/3 = (6 × 5) / 3

6 × 5 = 30

30 / 3 = 10

Therefore, 6 divided by 3/5 is equal to 10.

Why This Rule Works

The rule for dividing a number by a fraction may seem counterintuitive at first, but it's based on the concept of equivalent ratios. When we divide a number by a fraction, we are essentially asking for how many times the fraction fits into the number.

By multiplying the number by the reciprocal of the fraction, we are finding the equivalent ratio of the number to the fraction.

For example, 6 divided by 3/5 is equivalent to asking how many times 3/5 fits into 6. By multiplying 6 by the reciprocal of 3/5 (which is 5/3), we are finding the equivalent ratio of 6 to 3/5.

Practical Applications

Dividing numbers by fractions is a common operation in various fields, including science, engineering, and finance. For example, in cooking, we may need to divide a recipe by a fraction to reduce the serving size.

In science, we may need to divide a measurement by a fraction to convert it to a different unit.

In finance, we may need to divide a sum of money by a fraction to calculate interest or dividends.

Conclusion

In conclusion, dividing a number by a fraction may seem tricky at first, but it's a simple operation once we understand the rule. By multiplying the number by the reciprocal of the fraction, we can easily solve division problems involving fractions.

Remember, the key to solving these problems is to follow the rule and apply it consistently.

Gallery of Division with Fractions