Answer :
Answer:
2 [tex]\frac{26}{45}[/tex]
Step-by-step explanation:
given
2 [tex]\frac{9}{10}[/tex] ÷ 1 [tex]\frac{1}{8}[/tex]
First step is to change mixed numbers to improper fractions
= [tex]\frac{2(10)+9}{10}[/tex] ÷ [tex]\frac{1(8)+1}{8}[/tex]
= [tex]\frac{20+9}{10}[/tex] ÷ [tex]\frac{8+1}{8}[/tex]
= [tex]\frac{29}{10}[/tex] ÷ [tex]\frac{9}{8}[/tex]
• Leave first fraction
• Change division to multiplication
• Turn second fraction ' upside down '
= [tex]\frac{29}{10}[/tex] × [tex]\frac{8}{9}[/tex]
= [tex]\frac{29(8)}{10(9)}[/tex]
= [tex]\frac{232}{90}[/tex]
= 2 [tex]\frac{52}{90}[/tex]
= 2 [tex]\frac{26}{45}[/tex]
