Are you taking the state test-
Answer:
answer is b!
Step-by-step explanation:
hope this helps!!!
Answer:
This is very detailed as I wish to make some principles about fractions clear.
3
5
12
Explanation:
This question boils down to
3
2
3
−
1
4
A fractions structure is that of:
count
size indicator of what you are counting
→
numerator
denominator
You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider
3
2
3
Write as
3
+
2
3
Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value
[
3
×
1
]
+
2
3
[
3
×
3
3
]
+
2
3
9
3
+
2
3
=
11
3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Putting it all together
3
2
3
−
1
4
→
11
3
−
1
4
But the size indicators are not the same. I chose to make them become 12
11
3
−
1
4
→
[
11
3
×
1
]
−
[
1
4
×
1
]
→
[
11
3
×
4
4
]
−
[
1
4
×
3
3
]
→
44
12
−
3
12
Now we may subtract the counts
→
44
−
3
12
=
41
12
But this is the same as
12
12
+
12
12
+
12
12
+
5
12
=
1
2
+
2
1
2
+
2
1
2
+
5
12
=
3
5
12
Step-by-step explanation:
Answer:
-1+5z, -25+20y, 4d+14, 2n-2, 40k+8, 8b+5, -9+22p
Step-by-step explanation:
1) -4+7z+3-2z
-1+5z
2) 15+4(5y-10)
15+20y-40
-25+20y
3) 2d+17-3-2d+4d
4d+14
4) 12n-8-2n+10-4
2n-2
5) 8(2k+1+3k)
16k+8+24k
40k+8
5) 4(2b+2)-3
8b+8-3
8b+5
6) -4+8p-6p-5+20p
-9+22p
The answer would have to be B