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Solve the following problem:

[tex]\[ 2 \frac{9}{10} \div 1 \frac{1}{8} = ? \][/tex]


Sagot :

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]