Renaming fractions is also called "borrowing" - it's because you borrow fraction parts from the wholes of a mixed number.
this is necessary when, if you subtract, the subtracted fraction part is bigger than the fraction part of the number from which you subtract:
so here 3/4 is bigger than 1/4 and we need to borrow
if we wanted to subtract 3/4 from 4 1/4 then you're stuck: how do you subtract 3/4 from 1/4? you can't, but you can change 4 1/4 into 3 5/4 !!!! it's the same number, you just borrowed from the whole unmbers and put into the fraction!
now we can subtract: 3 5/4-3/4 is 3 2/4
Answer:
<h2>a = -2, b = -2 </h2>
Step-by-step explanation:

tis just a plain vanila multiplication
(3·x)·7 -> 21x.
Answer:
x = 5
Step-by-step explanation:
5x - 2x + 10 = 25
- 10 -10
5x - 2x = 15
3x = 15
divide 3 on both sides of the equal sign
x = 5
to check
5(5) - 2(5) + 10 = 25
25 - 10 + 10 = 25
25 = 25
Answer:
1/6
Step-by-step explanation:
Starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12). After simplification, the final result is 1/6.