Reduce to simplest form. -(3)/(7)+(-(3)/(4))=

Question

Reduce to simplest form.  -(3)/(7)+(-(3)/(4))=

Bytelearn · Accepted Answer

Identify common denominator: Identify a common denominator for the fractions $ \frac{3}{7} $ and $ \frac{3}{4} $. The common denominator for 7 and 4 is 28 because it is the least common multiple of these two numbers.Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of 28. For $ \frac{3}{7} $, multiply the numerator and denominator by 4 to get $ \frac{3 \times 4}{7 \times 4} = \frac{12}{28} $. For $ \frac{3}{4} $, multiply the numerator and denominator by 7 to get $ \frac{3 \times 7}{4 \times 7} = \frac{21}{28} $.Rewrite with equivalent fractions: Rewrite the original expression with the equivalent fractions. $ -\frac{3}{7} + (-\frac{3}{4}) $ becomes $ -\frac{12}{28} + (-\frac{21}{28}) $.Combine fractions by adding: Combine the fractions by adding their numerators. Since both fractions have the same denominator, you can add the numerators directly. $ -\frac{12}{28} + (-\frac{21}{28}) = -\frac{12 + 21}{28} $.Perform addition in numerator: Perform the addition in the numerator. $ -\frac{12 + 21}{28} = -\frac{33}{28} $.Fraction in simplest form: The fraction $ -\frac{33}{28} $ is already in its simplest form because 33 and 28 have no common factors other than 1.

Reduce to simplest form. $\newline$ $-\frac{3}{7}+\left(-\frac{3}{4}\right)=$

Full solution

More problems from Multiply using the distributive property

Related topics

Reduce to simplest form.\newline−37+(−34)= -\frac{3}{7}+\left(-\frac{3}{4}\right)= −73​+(−43​)=

Reduce to simplest form. $\newline$ $-\frac{3}{7}+\left(-\frac{3}{4}\right)=$