Answer:
The reciprocal of each mixed number.
[tex]6\frac{3}{4}[/tex] ⇔ [tex]\frac{4}{27}[/tex]
[tex]2\frac{1}{4}[/tex] ⇔ [tex]\frac{4}{9}[/tex]
[tex]1\frac{3}{4}[/tex] ⇔ [tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Given:
Three mixed number are given:
[tex]6\frac{3}{4}[/tex], [tex]2\frac{1}{4}[/tex] and [tex]1\frac{3}{4}[/tex]
Find reciprocal of each mixed number.
Solution:
The reciprocal of the number is 1 divided by number.
[tex]6\frac{3}{4}=\frac{4\times 6 +3}{4}=\frac{24+3}{4}=\frac{27}{4}[/tex]
So, the reciprocal of the [tex]\frac{27}{4}\ is\ \frac{4}{27}[/tex]
[tex]2\frac{1}{4}=\frac{4\times 2 +1}{4}=\frac{8+1}{4}=\frac{9}{4}[/tex]
So, the reciprocal of the [tex]\frac{9}{4}\ is\ \frac{4}{9}[/tex]
[tex]1\frac{3}{4}=\frac{4\times 1 +3}{4}=\frac{4+3}{4}=\frac{7}{4}[/tex]
So, the reciprocal of the [tex]\frac{7}{4}\ is\ \frac{4}{7}[/tex]
