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Explain Bot To solve the given equation, let's first convert both fractions to have the same denominator. The common denominator here is 10.
To convert 18 and 2/5 into a fraction with the denominator 10, we multiply the whole number (18) by the denominator (10), which gives us 180. Then we add the numerator (2) to get a total of 182. So, 18 and 2/5 is equivalent to 182/10.
Now that both fractions have the same denominator, we can subtract them:
(22 and 9/10) - (18 and 2/5)
=(22 + 9/10) - (18 + 2/5)
= 22 + 9/10 - 18 - 2/5
Next, let's subtract the whole numbers separately:
22 - 18 = 4
For the fractions, we can subtract them since they have the same denominator:
9/10 - 2/5
To subtract fractions with the same denominator, we subtract the numerators and keep the denominator:
(9 - 2)/10 = 7/10
Putting it all together:
4 + 7/10
Thus, the answer to the equation is 4 and 7/10 or 4.7.