Reduce to simplest form. (5)/(3)+(-(7)/(6))=

Identify Common Denominator: Identify a common denominator for the fractions. The denominators are 3 and 6. The least common denominator (LCD) for these two fractions is 6.Convert First Fraction: Convert the first fraction to have the common denominator. To convert (5/3) to have a denominator of 6, multiply both the numerator and the denominator by 2. (5/3) * (2/2) = (10/6)Add Fractions: Add the converted first fraction to the second fraction. Now that both fractions have the same denominator, add them together. (10/6) + (-(7/6)) = (10 - 7)/6Perform Subtraction: Perform the subtraction in the numerator. Subtract 7 from 10 to get the new numerator. (10 - 7)/6 = 3/6Simplify Resulting Fraction: Simplify the resulting fraction. The fraction 3/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. (3/6) ÷ (3/3) = 1/2

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Reduce to simplest form.

\newline

\frac{5}{3}+\left(-\frac{7}{6}\right)=

Identify Common Denominator: Identify a common denominator for the fractions. $\newline$ The denominators are $3$ and $6$ . The least common denominator (LCD) for these two fractions is $6$ .
Convert First Fraction: Convert the first fraction to have the common denominator. $\newline$ To convert $(\frac{5}{3})$ to have a denominator of $6$ , multiply both the numerator and the denominator by $2$ . $\newline$ $(\frac{5}{3}) \times (\frac{2}{2}) = (\frac{10}{6})$
Add Fractions: Add the converted first fraction to the second fraction. $\newline$ Now that both fractions have the same denominator, add them together. $\newline$ $(\frac{10}{6}) + (-(\frac{7}{6})) = (\frac{10 - 7}{6})$
Perform Subtraction: Perform the subtraction in the numerator. $\newline$ Subtract $7$ from $10$ to get the new numerator. $\newline$ $(10 - 7)/6 = 3/6$
Simplify Resulting Fraction: Simplify the resulting fraction. $\newline$ The fraction $\frac{3}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $(\frac{3}{6}) \div (\frac{3}{3}) = \frac{1}{2}$