5/8 of the songs on Harrison’s music player are hip-hop. 1/3 of the remaining songs are rhythm and blues. What fraction of all the songs are rhythm and blues? Use a tape diagram to solve.

Answer:The songs of rhythm and blues are 1/8Step-by-step explanation:Tape diagram is attached Data5/8 hip-hop1/3 of the remaining are rhythm and blueThe remaining is 1- 5/8=First, find the Least Common Denominator and rewrite the fractions with the common denominator.LCD = 8 Equivalent Fractions with the LCD 1/1 = 8/8 5/8 = 5/8 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. (1/1×8/8)−(5/8×1/1)=? Complete the multiplication and the equation becomes 8/8−5/8=? The two fractions now have like denominators so you can subtract the numerators. Then: (8−5)/8=3/8 This fraction cannot be reduced.Remaining =3/8 To get rhythm and blues we have to multiply 1/3 by 3/8 1/3 x 3/8 For fraction multiplication, multiply the numerators and then multiply the denominators to get 1×3/3×8=3/24 This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 24 3/24= 1/8The songs of rhythm and blues are 1/8