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(2)/(2)+1.75-(44)/(25)=
Enter the answer as an exact decimal or simplified fraction.

22+1.754425= \frac{2}{2}+1.75-\frac{44}{25}= \newlineEnter the answer as an exact decimal or simplified fraction.

Full solution

Q. 22+1.754425= \frac{2}{2}+1.75-\frac{44}{25}= \newlineEnter the answer as an exact decimal or simplified fraction.
  1. Simplify Fraction: Simplify the fraction (2)/(2)(2)/(2).\newlineSince the numerator and denominator are the same, (2)/(2)(2)/(2) simplifies to 11.
  2. Convert to Improper Fraction: Convert the mixed number 1.751.75 to an improper fraction.\newline1.751.75 is the same as 1341 \frac{3}{4}, which can be written as the improper fraction 74\frac{7}{4} because 1.75=1+0.751.75 = 1 + 0.75 and 0.75=340.75 = \frac{3}{4}, so 1+34=44+34=741 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4}.
  3. Convert to Common Denominator: Convert all numbers to fractions to add and subtract them easily.\newlineWe already have (2)/(2)(2)/(2) as 11, which is (1)/(1)(1)/(1), and 1.751.75 as (7)/(4)(7)/(4). The last term, (44)/(25)(44)/(25), is already a fraction.
  4. Add and Subtract Fractions: Add and subtract the fractions.\newlineNow we add and subtract the fractions: (11)+(74)(4425)(\frac{1}{1}) + (\frac{7}{4}) - (\frac{44}{25}).\newlineTo add and subtract fractions, they need to have a common denominator. The common denominator for 11, 44, and 2525 is 100100.
  5. Convert to Common Denominator: Convert each fraction to have the common denominator of 100100.11\frac{1}{1} becomes 100100\frac{100}{100}, 74\frac{7}{4} becomes 175100\frac{175}{100}, and 4425\frac{44}{25} becomes 176100\frac{176}{100}.
  6. Perform Addition and Subtraction: Perform the addition and subtraction with the common denominator.\newlineNow we have (100)/(100)+(175)/(100)(176)/(100)(100)/(100) + (175)/(100) - (176)/(100).\newlineAdding the first two fractions gives us (275)/(100)(275)/(100), and subtracting the last fraction gives us (275)/(100)(176)/(100)=(99)/(100)(275)/(100) - (176)/(100) = (99)/(100).
  7. Simplify Result: Simplify the result, if necessary.\newlineThe fraction (99)/(100)(99)/(100) is already in simplest form, so no further simplification is needed.

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