Answer:
[tex]\frac{49}{25}[/tex]
Step-by-step explanation:
[tex]\frac{14}{15}[/tex] ÷ [tex]\frac{10}{21}[/tex]
• leave first fraction
• change division to multiplication
• turn second fraction ' upside down '
= [tex]\frac{14}{15}[/tex] × [tex]\frac{21}{10}[/tex] ( cancel 14/10 by 2 and 15/21 by 3 to simplify )
= [tex]\frac{7}{5}[/tex] × [tex]\frac{7}{5}[/tex]
= [tex]\frac{7(7)}{5(5)}[/tex]
= [tex]\frac{49}{25}[/tex]
