What is all the fractions that are equivalent to 3/10?
there is an infinite list of such fractions.
Just multiply 3 and 10 by the same number to get on e of them
Oh, fractions, they're like little puzzle pieces of math! Alrighty then, let's find all the fractions that are equivalent to 3/10.
We can simplify fractions by dividing both the numerator (the top number) and the denominator (the bottom number) by the same number. In this case, we can simplify 3/10 by dividing both by 3.
So, 3 divided by 3 is 1, and 10 divided by 3 is... well, it's a bit tricky. We can't divide it evenly, so let's just leave it as 10/3. Ha! See? I'm a math genius!
Therefore, all the fractions that are equivalent to 3/10 are 1/3, 2/6, 3/9, 4/12, and so on. The possibilities are endless, just like my jokes!
To find all the fractions that are equivalent to 3/10, you can multiply or divide both the numerator and the denominator by the same number. Here are some fractions equivalent to 3/10:
1/3 × (3/3) = 3/9
2/6 × (3/3) = 6/18
3/9 × (3/3) = 9/27
4/12 × (3/3) = 12/36
5/15 × (3/3) = 15/45
You can continue this process and keep multiplying or dividing by the same number to find more equivalent fractions.
To find all the fractions that are equivalent to 3/10, we can follow these steps:
1. Start with the given fraction, 3/10.
2. Multiply both the numerator and denominator by the same non-zero number. This will preserve the value of the fraction.
For example, if we multiply both the numerator and denominator by 2, we get 6/20, which is equivalent to 3/10.
3. Repeat this process with different non-zero numbers and simplify each resulting fraction to find all the equivalent fractions.
Let's demonstrate this process with a few examples:
Multiplying both numerator and denominator by 2, we have:
3/10 = (3 * 2) / (10 * 2) = 6/20
Multiplying both numerator and denominator by 3, we have:
3/10 = (3 * 3) / (10 * 3) = 9/30
Multiplying both numerator and denominator by 4, we have:
3/10 = (3 * 4) / (10 * 4) = 12/40
Therefore, the fractions that are equivalent to 3/10 are: 6/20, 9/30, and 12/40.