Issolvi 2-13/4*(11/5-11/4)

$$2 - 1 \frac { 3 } { 4 } \times ( 1 \frac { 1 } { 5 } - 1 \frac { 1 } { 4 } )$$

Evalwa

$$\frac{167}{80}=2.0875$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 4 biex tikseb 4.

$$2-\frac{4+3}{4}\left(\frac{1\times 5+1}{5}-\frac{1\times 4+1}{4}\right)$$

Żid 4 u 3 biex tikseb 7.

$$2-\frac{7}{4}\left(\frac{1\times 5+1}{5}-\frac{1\times 4+1}{4}\right)$$

Immultiplika 1 u 5 biex tikseb 5.

$$2-\frac{7}{4}\left(\frac{5+1}{5}-\frac{1\times 4+1}{4}\right)$$

Żid 5 u 1 biex tikseb 6.

$$2-\frac{7}{4}\left(\frac{6}{5}-\frac{1\times 4+1}{4}\right)$$

Immultiplika 1 u 4 biex tikseb 4.

$$2-\frac{7}{4}\left(\frac{6}{5}-\frac{4+1}{4}\right)$$

Żid 4 u 1 biex tikseb 5.

$$2-\frac{7}{4}\left(\frac{6}{5}-\frac{5}{4}\right)$$

L-inqas multipli komuni ta' 5 u 4 huwa 20. Ikkonverti \frac{6}{5} u \frac{5}{4} fi frazzjonijiet bid-denominatur 20.

$$2-\frac{7}{4}\left(\frac{24}{20}-\frac{25}{20}\right)$$

Billi \frac{24}{20} u \frac{25}{20} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$2-\frac{7}{4}\times \frac{24-25}{20}$$

Naqqas 25 minn 24 biex tikseb -1.

$$2-\frac{7}{4}\left(-\frac{1}{20}\right)$$

Immultiplika \frac{7}{4} b'-\frac{1}{20} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$2-\frac{7\left(-1\right)}{4\times 20}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{7\left(-1\right)}{4\times 20}.

$$2-\frac{-7}{80}$$

Frazzjoni \frac{-7}{80} tista' tinkiteb mill-ġdid bħala -\frac{7}{80} bl-estrazzjoni tas-sinjal negattiv.

$$2-\left(-\frac{7}{80}\right)$$

L-oppost ta' -\frac{7}{80} huwa \frac{7}{80}.

$$2+\frac{7}{80}$$

Ikkonverti 2 fi frazzjoni \frac{160}{80}.

$$\frac{160}{80}+\frac{7}{80}$$

Billi \frac{160}{80} u \frac{7}{80} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{160+7}{80}$$

Żid 160 u 7 biex tikseb 167.

$$\frac{167}{80}$$

Fattur

$$\frac{167}{2 ^ {4} \cdot 5} = 2\frac{7}{80} = 2.0875$$