Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Reduce to simplest form.

-(5)/(8)-(-(4)/(3))=

Reduce to simplest form.\newline58(43)= -\frac{5}{8}-\left(-\frac{4}{3}\right)=

Full solution

Q. Reduce to simplest form.\newline58(43)= -\frac{5}{8}-\left(-\frac{4}{3}\right)=
  1. Remove double negative: First, we need to rewrite the expression by removing the double negative. The double negative turns into a positive, so the expression becomes -58 \frac{5}{8} + 43 \frac{4}{3} .
  2. Find common denominator: Next, we need to find a common denominator for the two fractions. The least common multiple of 88 and 33 is 2424, so we will convert both fractions to have a denominator of 2424.
  3. Convert 5-5/88 to 2424: To convert -58 \frac{5}{8} to a denominator of 2424, we multiply both the numerator and the denominator by 33. This gives us -5×38×3 \frac{5 \times 3}{8 \times 3} = -1524 \frac{15}{24} .
  4. Convert 44/33 to 2424: To convert 43 \frac{4}{3} to a denominator of 2424, we multiply both the numerator and the denominator by 88. This gives us 4×83×8 \frac{4 \times 8}{3 \times 8} = 3224 \frac{32}{24} .
  5. Add fractions with 2424: Now we can add the two fractions with the common denominator. -1524 \frac{15}{24} + 3224 \frac{32}{24} = 32241524 \frac{32}{24} - \frac{15}{24} .
  6. Subtract numerators: Subtracting the numerators, we get 321524 \frac{32 - 15}{24} = 1724 \frac{17}{24} .
  7. Simplify fraction: The fraction 1724 \frac{17}{24} is already in its simplest form because 1717 and 2424 have no common factors other than 11.

More problems from Simplify variable expressions using properties