Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1 \frac{2}{15}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{1 \frac{7}{10} \times \frac{2}{3} }[/tex]
Convert the mixed number into improper fraction
[tex] \longrightarrow{ \sf{ \frac{10 \times 1 + 7}{10} \times \frac{2}{3}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{17}{10} \times \frac{2}{3}}} [/tex]
To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term
[tex] \longrightarrow{ \sf{ \frac{17 \times 2}{10 \times 3}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{34}{30}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{17}{15} }}[/tex]
Convert the improper fraction into mixed number
[tex] \longrightarrow{ \sf{1 \frac{2}{15} }}[/tex]
Hope I helped!
Best regards! :D
