Answer: [tex]3\frac{7}{10}[/tex] or [tex]\frac{37}{10}[/tex]
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Follow these steps I made for you.
Step 1: Convert [tex]8\frac{4}{5}[/tex] to an improper fraction. Use this rule: [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex].
[tex]\frac{8 * 5 + 4}{5} - 5\frac{1}{10}[/tex]
Step 2: Simplify 8 × 5 to 40.
[tex]\frac{40 + 4}{5} - 5\frac{1}{10}[/tex]
Step 3: Simplify 40 + 4 to 44.
[tex]\frac{44}{5} - 5\frac{1}{10}[/tex]
Step 4: Convert [tex]5\frac{1}{10}[/tex] to an improper fraction. Use this rule [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex].
[tex]\frac{44}{5} - \frac{50 * 10 + 1}{10}[/tex]
Step 5: Simplify 5 × 10 to 50.
[tex]\frac{44}{5} - \frac{50 + 1}{10}[/tex]
Step 6: Simplify 50 + 1 to 51.
[tex]\frac{44}{5} - \frac{51}{10}[/tex]
Step 7: Find the Least Common Denominator (LCD) of [tex]\frac{44}{5}, \frac{51}{10}[/tex]. In other words, find the Least Common Multiple (LCM) of 5, 10.
LCD = 10
Step 8: Make the denominators the same as the LCD.
[tex]\frac{44 * 2}{5 * 2} - \frac{51}{10}[/tex]
Step 9: Simplify. Denominators are now the same.
[tex]\frac{88}{10} - \frac{51}{10}[/tex]
Step 10: Join the denominators.
[tex]\frac{88- 51}{10}[/tex]
Step 11: Simplify.
[tex]\frac{37}{10}[/tex]
Step 12: Convert to a mixed fraction.
[tex]3\frac{7}{10}[/tex]
~I hope I helped you! :)~
