Answer:
1/10
Step-by-step explanation:
1
Find the Least Common Denominator (LCD) of 25,12\frac{2}{5}, \frac{1}{2}52,21.
Method 1: By Listing Multiples
List out all multiples of each denominator, and find the first common one.
Multiples of 5
: 5, 10, ...
Multiples of 2
: 2, 4, 6, 8, 10, ...
Therefore, the LCD is 101010.
Method 2: By Prime Factors
Since 5,25,25,2 are prime numbers themselves, we simply multiply them to get the LCD.
Therefore, the LCD is 5×2=105\times 2=105×2=10.
LCD = 101010
2
Make the denominators the same as the LCD.
−2×25×2+1×52×5-\frac{2\times 2}{5\times 2}+\frac{1\times 5}{2\times 5}−5×22×2+2×51×5
3
Simplify. Denominators are now the same.
−410+510-\frac{4}{10}+\frac{5}{10}−104+105
4
Join the denominators.
−4+510\frac{-4+5}{10}10−4+5
5
Simplify.
110\frac{1}{10}101
