1 1/21 :(15,75 -15 1/4) + 2 1/12:(7 3/4 -7,25)

1 1/21 :(15,75 -15 1/4) + 2 1/12:(7 3/4 -7,25)

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  1. 1$\frac{1}{21}$ : ( 15,75 – 15$\frac{1}{4}$ ) + 2 $\frac{1}{12}$  : ( 7 $\frac{3}{4}$ – 7,25)
    =  $\frac{22}{21}$ : ( 15,75 – $\frac{61}{4}$ ) +  $\frac{25}{12}$  : ( $\frac{31}{4}$  – 7,25 )
    =  $\frac{22}{21}$ : ( $\frac{63}{4}$ – $\frac{61}{4}$ ) + $\frac{25}{12}$ : ( $\frac{31}{4}$ – $\frac{29}{4}$ )
    = $\frac{22}{21}$ : ( $\frac{63 – 61}{4}$ ) + $\frac{25}{12}$ : ( $\frac{31 – 29}{4}$ )
    =  $\frac{22}{21}$ : $\frac{2}{4}$ + $\frac{25}{12}$ : $\frac{2}{4}$
    = $\frac{22}{21}$ : $\frac{1}{4}$ + $\frac{25}{12}$ : $\frac{1}{4}$
    =  $\frac{22}{21}$ x $\frac{4}{1}$ + $\frac{25}{12}$ x $\frac{4}{1}$
    = $\frac{88}{21}$ + $\frac{25}{3}$
    = $\frac{88}{21}$ + $\frac{175}{21}$
    = $\frac{88 + 175}{21}$ = $\frac{263}{21}$ 

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  2. `1 1/21 : (15,75 – 15 1/4) + 2 1/12 : ( 7 3/4 – 7,25)`

    `= 22/21 : (63/4 – 61/4) +  25/12 : (31/4 – 29/4)`

    `= 22/21 : 1/2 +  25/12 : 1/2`

    `= 22/21 xx 2 + 25/12 xx 2`

    ` = 2 xx ( 22/21 + 25/12)`

    ` = 2 xx (88/84 + 175/84)`

    ` = 2 xx 263/84`

    ` = 263/42`

     

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