Which fraction is equivalent to 0.407?

5/24
11/27
13/28
15/31

a

b

5/24

To find the fraction that is equivalent to 0.407, we need to convert the decimal into a fraction form. Here's how you can do it:

Step 1: Write down the given decimal as a fraction by placing it over a denominator that represents the place value of the decimal. In this case, our decimal is 0.407, which has three decimal places. So, the denominator will be 10 raised to the power of 3, which is 1000.

0.407 = 407/1000

Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 407 and 1000 is 1, so no further simplification is possible.

So, the fraction equivalent to 0.407 is 407/1000.

Now let's compare this with the given options:

5/24 = 0.208 (approximate value)
11/27 = 0.407 (exact value)
13/28 = 0.464 (approximate value)
15/31 = 0.484 (approximate value)

As we can see, the only fraction that is equivalent to 0.407 is 11/27.

why not grab a calculator to which one it is ???

btw, none of your choices are actually equal to .407