# How to Calculate 3/5 Divided by 4/7

Are you looking to work out and calculate how to divide 3/5 by 4/7? In this really simple guide, we'll teach you exactly what 3/5 ÷ 4/7 is and walk you through the step-by-process of how to divide fractions.

Before we dive into the calculation, let's recap on some fraction basics. The number above the dividing line is called the numerator, while the number above the dividing line is called the denominator.

For dividing fractions it's also useful to know that the first fraction (3/5) is called the *dividend* and the second fraction (4/7) is called the *divisor*.

Let's set up 3/5 and 4/7 side by side so they are easier to see:

Here is a really quick way to divide fractions. In the divisor (the second fraction) we **flip the numerator and the denominator**. This is known as the **reciprocal** and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign:

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

You're done! You now know exactly how to calculate 3/5 - 4/7. Hopefully you understood the process and can use the same techniques to add other fractions together. The complete answer is below (simplified to the lowest form):

*Note: since the numerator is greater than the denominator in this example, we've simplified it into a mixed fraction.*

## Convert 3/5 times 4/7 to Decimal

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

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### Preset List of Fraction Division Examples

Below are links to some preset calculations that are commonly searched for: