Réitigh (6.25-3.75)*0.8/(4-2.75):6.25+(2.5+0.75):3.25/(40-38.8)*5

$$\frac { ( 6.25 - 3.75 ) \cdot 0.8 } { ( 4 - 2.75 ) : 6.25 } + \frac { ( 2.5 + 0.75 ) : 3.25 } { ( 40 - 38.8 ) \cdot 5 }$$

Luacháil

$$\frac{61}{6}\approx 10.166666667$$

Céimeanna Réitigh

Dealaigh 3.75 ó 6.25 chun 2.5 a fháil.

$$\frac{2.5\times 0.8}{\frac{4-2.75}{6.25}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Méadaigh 2.5 agus 0.8 chun 2 a fháil.

$$\frac{2}{\frac{4-2.75}{6.25}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Dealaigh 2.75 ó 4 chun 1.25 a fháil.

$$\frac{2}{\frac{1.25}{6.25}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Fairsingigh \frac{1.25}{6.25} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 100.

$$\frac{2}{\frac{125}{625}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Laghdaigh an codán \frac{125}{625} chuig na téarmaí is ísle trí 125 a bhaint agus a chealú.

$$\frac{2}{\frac{1}{5}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Roinn 2 faoi \frac{1}{5} trí 2 a mhéadú faoi dheilín \frac{1}{5}.

$$2\times 5+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Méadaigh 2 agus 5 chun 10 a fháil.

$$10+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Suimigh 2.5 agus 0.75 chun 3.25 a fháil.

$$10+\frac{\frac{3.25}{3.25}}{\left(40-38.8\right)\times 5}$$

Roinn 3.25 faoi 3.25 chun 1 a fháil.

$$10+\frac{1}{\left(40-38.8\right)\times 5}$$

Dealaigh 38.8 ó 40 chun 1.2 a fháil.

$$10+\frac{1}{1.2\times 5}$$

Méadaigh 1.2 agus 5 chun 6 a fháil.

$$10+\frac{1}{6}$$

Coinbhéartaigh 10 i gcodán \frac{60}{6}.

$$\frac{60}{6}+\frac{1}{6}$$

Tá an t-ainmneoir céanna ag \frac{60}{6} agus \frac{1}{6} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{60+1}{6}$$

Suimigh 60 agus 1 chun 61 a fháil.

$$\frac{61}{6}$$

Fachtóirigh

$$\frac{61}{2 \cdot 3} = 10\frac{1}{6} = 10.166666666666666$$