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Reduce to simplest form.

-(9)/(12)-(-(7)/(4))=

Reduce to simplest form.\newline912(74)= -\frac{9}{12}-\left(-\frac{7}{4}\right)=

Full solution

Q. Reduce to simplest form.\newline912(74)= -\frac{9}{12}-\left(-\frac{7}{4}\right)=
  1. Simplify Signs: Simplify the negative signs.\newlineWe have two negative signs in the expression, which when multiplied together will give a positive sign. So, (912)((74))-\left(\frac{9}{12}\right) - \left(-\left(\frac{7}{4}\right)\right) becomes (912)+(74)-\left(\frac{9}{12}\right) + \left(\frac{7}{4}\right).
  2. Find Common Denominator: Simplify the fractions.\newlineBefore adding the fractions, we need to find a common denominator. The least common multiple of 1212 and 44 is 1212. So we need to convert 74\frac{7}{4} to a fraction with a denominator of 1212.
  3. Convert Fraction: Convert (74)(\frac{7}{4}) to a fraction with a denominator of 1212. To convert (74)(\frac{7}{4}) to a fraction with a denominator of 1212, we multiply both the numerator and the denominator by 33. This gives us (7×34×3)=2112(\frac{7\times 3}{4\times 3}) = \frac{21}{12}.
  4. Rewrite Expression: Rewrite the expression with the common denominator.\newlineNow we have 912-\frac{9}{12} + 2112\frac{21}{12}. We can now add these fractions.
  5. Add Fractions: Add the fractions.\newline912+2112=2112912=21912=1212-\frac{9}{12} + \frac{21}{12} = \frac{21}{12} - \frac{9}{12} = \frac{21 - 9}{12} = \frac{12}{12}.
  6. Simplify Final Fraction: Simplify the fraction 1212\frac{12}{12}. The fraction 1212\frac{12}{12} simplifies to 11, because any number divided by itself is equal to 11.

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