Question

multiply 26/7 × 14/3
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Answer 1

Answer:

$\frac{26}{7} \times \frac{14}{3} = \frac{26}{1} \times \frac{2}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{52}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 17.33$

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Answer 2

Answer:

$\dfrac{ 2 6 }{ 7 } \times \dfrac{ 1 4 }{ 3 } = \dfrac{ 5 2 }{ 3 } \quad \left( \mathrm{ D e c i m a l : \quad } \: 1 7 . 3 3 3 3 3 \dots \right)$

Step-by-step explanation:

$\dfrac{ 2 6 }{ 7 } \times \dfrac{ 1 4 }{ 3 }$

$\gray{\mathrm{ C r o s s - c a n c e l \: c o m m o n \: f a c t o r : } \: 7}$

$=\dfrac{ 2 6 }{ 1 } \times \dfrac{ 2 }{ 3 }$

$\gray{\mathrm{ M u l t i p l y \: f r a c t i o n s } : \quad \dfrac{ a }{ b } \times \dfrac{ c }{ d } = \dfrac{ a \: \times \: c }{ b \: \times \: d }}$

$= \dfrac{ 2 6 \times \: 2 }{ 1 \times \: 3}$

$\gray{\mathrm{ M u l t i p l y \: t h e \: n u m b e r s : } \: 2 6 \times \: 2 = 5 2 }$

$= \dfrac{ 5 2 }{ 1 \times \: 3 }$

$\gray{\mathrm{ M u l t i p l y \: t h e \: n u m b e r s : } \: 1 \times \: 3 = 3}$

$= \dfrac{ 5 2 }{ 3 }$