-4/5 + 33/10 Write your answer as a mixed number in simplest form.

2 1/2

Step-by-step explanation:

−45+3310=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-4/5, 33/10) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−45×22)+(33/10×11)=?

Complete the multiplication and the equation becomes

−8/10+33/10=?

The two fractions now have like denominators so you can add the numerators.

Then:

−8+33/10=25/10

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using

GCF(25,10) = 5

25÷5/10÷5=5/2

The fraction

52

is the same as

5÷2

Convert to a mixed number using

long division for 5 ÷ 2 = 2R1, so

52=212

Therefore:

−4/5+33/10= 2 1/2

b is the answer that makes most sense

step-by-step explanation: