Question

from unit 2, lesson 1
complete each equation with a number that makes it true
a. 11·\frac{1}{4}=
b. 7·\frac{1}{4}=
c. 13·\frac{1}{27}=
d. 13·\frac{1}{99}=
e. x·\frac{1}{y}=(as long as y does not equal 0.)

learning targets
+ i can explain the meaning of equivalent ratios using a color mixture as an example.
+ i can use a diagram to represent a single batch, a double batch, and a triple batch of a color mixture.
+ i know what it means to double or triple a color mixture.

Explanation:

Step1: Multiply whole - number by fraction

For a number \(a\) multiplied by \(\frac{1}{b}\), the result is \(\frac{a}{b}\).

a.

\(11\times\frac{1}{4}=\frac{11}{4} = 2.75\)

b.

\(7\times\frac{1}{4}=\frac{7}{4}=1.75\)

c.

\(13\times\frac{1}{27}=\frac{13}{27}\approx0.481\)

d.

\(13\times\frac{1}{99}=\frac{13}{99}\approx0.131\)

e.

\(x\times\frac{1}{y}=\frac{x}{y}\) (where \(y
eq0\))

Answer:

a. \(\frac{11}{4}\)
b. \(\frac{7}{4}\)
c. \(\frac{13}{27}\)
d. \(\frac{13}{99}\)
e. \(\frac{x}{y}\)