What is the answer to 2/5 + 3/8
2 answers:
Answer:
The answer is 31/40.
Step-by-step explanation:
In order to add fractions, the denominators of each fraction must be the same.
1) Find the LCM, Lowest Common Multiple, of 5 and 8.
2) Multiple the entirty of each fraction, the numerator and denominator, by the number that will result in equal denominators.
3) Add numerators, denominators stay the same.
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Given:
ΔABC ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.
Do cross multiplication.
Add 192 on both sides.
Subtract 24x from both sides.
Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.