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.

The songs of rhythm and blues are 1/8

Step-by-step explanation:

Tape diagram is attached

Data

5/8 hip-hop

1/3 of the remaining are rhythm and blue

The 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= 1/8

The songs of rhythm and blues are 1/8

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0