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(7)/(4)-1.76=
Enter the answer as an exact decimal or simplified fraction.

741.76= \frac{7}{4}-1.76= \newlineEnter the answer as an exact decimal or simplified fraction.

Full solution

Q. 741.76= \frac{7}{4}-1.76= \newlineEnter the answer as an exact decimal or simplified fraction.
  1. Convert Decimal to Fraction: Convert the decimal 1.761.76 to a fraction.\newlineTo subtract the decimal from the fraction, it's easier to work with both numbers in the same format. Convert 1.761.76 to a fraction by recognizing that it is 11 and 7676 hundredths.\newline1.76=1+0.76=1+761001.76 = 1 + 0.76 = 1 + \frac{76}{100}\newlineNow simplify the fraction 76100\frac{76}{100}.\newline76100\frac{76}{100} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 44.\newline76÷4=1976 \div 4 = 19\newline100÷4=25100 \div 4 = 25\newlineSo, 1.761.76 as a fraction is 1.761.7611.
  2. Express 11 as Fraction: Express 11 as a fraction with the same denominator as 1925\frac{19}{25}. To combine 11 with 1925\frac{19}{25}, we need to express 11 as a fraction with the same denominator, which is 2525. 1=25251 = \frac{25}{25} Now we can add this to 1925\frac{19}{25}. 1+1925=(25+19)25=44251 + \frac{19}{25} = \frac{(25 + 19)}{25} = \frac{44}{25} So, 1.761.76 as a fraction is 1925\frac{19}{25}00.
  3. Subtract Fractions: Subtract the fraction equivalent of 1.761.76 from 74\frac{7}{4}. Now we have two fractions: 74\frac{7}{4} and 4425\frac{44}{25}. To subtract them, we need a common denominator. The least common multiple of 44 and 2525 is 100100. Convert 74\frac{7}{4} to a fraction with a denominator of 100100. (74)×(2525)=175100(\frac{7}{4}) \times (\frac{25}{25}) = \frac{175}{100} Convert 4425\frac{44}{25} to a fraction with a denominator of 100100. 74\frac{7}{4}22 Now subtract the two fractions. 74\frac{7}{4}33

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