Respuesta :

MissSpanish

[tex] \frac{5}{7} \: - \: \frac{3}{2} [/tex]

  • First, we find the lowest common denominator which is "14", we put it in the common numerator.

[tex] \frac{10 \: - \: 21}{14} [/tex]

  • We subtract the numbers.

[tex] \boxed{ \bold{- \frac{11}{14} }}[/tex]

MissSpanish

[tex]\boldsymbol{\sf{\dfrac{5}{7}-\dfrac{3}{2} }}[/tex]

The least common multiple of 7 and 2 is 14. Convert 5/7 and 3/2 to fractions with like denominators.

[tex]\boldsymbol{\sf{ \dfrac{5\times2}{7\times2}-\dfrac{3\times7}{2\times7} \ \ \to \ \ \ Simplify }}[/tex]

[tex]\boldsymbol{\sf{\dfrac{10}{14}-\dfrac{21}{14} }}[/tex]

Since 10/14 and 21/14 have the same denominator, subtract their numerators to subtract them.

[tex]\boldsymbol{\sf{\dfrac{10-21}{14} \ \ \to \ \ \ Subtract}}[/tex]

Subtract 21 from 10 to get −11.

[tex]\red{\boxed{\boldsymbol{\sf{-\frac{11}{14} }}}} \ \ \to \ \ \boldsymbol{\sf{Answer}}[/tex]

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