Question

Multiply 6/13 by a reciprocal of 6/26

Answer 1

Answer:

2

Step-by-step explanation:

We know that,

$\large \sf{ \blue{Reciprocal \: of \: \frac{x}{y}} = \purple{\frac{y}{x} } }$

$\large \sf{ \therefore Reciprocal \: of \: \frac{6}{26} = \frac{26}{6} }$

$\large \sf{Multiplication \: of \: \frac{6}{13} to \: the \: reciprocal \: of \: \frac{6}{26} } \\ \large \sf{ = \frac{\cancel{6}}{\cancel{13}} \times \frac{\cancel{26}^{ \: \: 2}}{ \cancel{6}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \sf\purple{ = 2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$