Question

what should be added to 1/7 to get 4/7 ?​

Answer 1

Answer:

3/7 must be added to 1/7 to get 4/7

Answer 2

So, the question is what should be added to 3/4 to get 7 1/4?

Let's rephrase the question a bit. This is the same as subtracting two values to get a number. This number is the “difference” between 3/4 and 7 1/4.

But firstly, we have to simplify 7 1/4 to make this easier. What the 7 means is that it is seven wholes of the fraction. So to simplify this, multiply 7 by the denominator of the fraction (which is 4) to get what number gives 7 when divided by 4.

7 x 4 = 28

Now the fraction is 28/4, but we're still missing the other part of the fraction. 28/4 gives 7 wholes, but we still have 1/4 more to go. That little bit can't be forgotten. So now add it to 28/4. Since the denominators are the same, you can simply add the numerators together.

28/4 + 1/4 = 29/4

Now for the final stretch! I said before that asking “what is added to 3/4 to get 7 1/4?” is the same as subtracting the two numbers to get the “difference” between them. This “difference” is equal to what can be added to 3/4 to get 7 1/4.

So we worked out that 7 1/4 is the same as 29/4. So now we can subtract 29/4 by 3/4 to get the “difference” between them. Again, since the denominators are the same, we can simply subtract the numerators.

29/4 - 3/4 = 26/4

But now we should simplify this fraction into a mixed fraction (an example of a mixed fraction is 7 1/4). So we need to do the reverse of the first step. Now off the top of our heads, we know that 24 divided by 4 is 6. And knowing that, I can split 26/4 into two parts.

26/4 = 24/4 + 2/4

So now 24/4 can be evaluated to get 6 and 2/4 is left over. So the mixed fraction is 6 2/4. But wait! Final step, I swear! 2/4 can be reduced. Since both the numerator and denominator are divisible by 2, the fraction can simplified to 1/2.

Because 2/4 = 1/2.

Now the final answer is 6 1/2.