Q. 22+1.75−2544=Enter the answer as an exact decimal or simplified fraction.
Simplify Fraction: Simplify the fraction (2)/(2).Since the numerator and denominator are the same, (2)/(2) simplifies to 1.
Convert to Improper Fraction: Convert the mixed number 1.75 to an improper fraction.1.75 is the same as 143, which can be written as the improper fraction 47 because 1.75=1+0.75 and 0.75=43, so 1+43=44+43=47.
Convert to Common Denominator: Convert all numbers to fractions to add and subtract them easily.We already have (2)/(2) as 1, which is (1)/(1), and 1.75 as (7)/(4). The last term, (44)/(25), is already a fraction.
Add and Subtract Fractions: Add and subtract the fractions.Now we add and subtract the fractions: (11)+(47)−(2544).To add and subtract fractions, they need to have a common denominator. The common denominator for 1, 4, and 25 is 100.
Convert to Common Denominator: Convert each fraction to have the common denominator of 100.11 becomes 100100, 47 becomes 100175, and 2544 becomes 100176.
Perform Addition and Subtraction: Perform the addition and subtraction with the common denominator.Now we have (100)/(100)+(175)/(100)−(176)/(100).Adding the first two fractions gives us (275)/(100), and subtracting the last fraction gives us (275)/(100)−(176)/(100)=(99)/(100).
Simplify Result: Simplify the result, if necessary.The fraction (99)/(100) is already in simplest form, so no further simplification is needed.