Issolvi 46.06*10^3/2.303*0.083[1/400-1/700]

$$\frac { 46.06 \times 10 ^ { 3 } } { 2.303 \times 0.083 } [ \frac { 1 } { 400 } - \frac { 1 } { 700 } ]$$

Evalwa

$$\frac{150000}{581}\approx 258.17555938$$

Passi tas-Soluzzjonijiet

Ikkalkula 10 bil-power ta' 3 u tikseb 1000.

$$\frac{46.06\times 1000}{2.303\times 0.083}\left(\frac{1}{400}-\frac{1}{700}\right)$$

Immultiplika 46.06 u 1000 biex tikseb 46060.

$$\frac{46060}{2.303\times 0.083}\left(\frac{1}{400}-\frac{1}{700}\right)$$

Immultiplika 2.303 u 0.083 biex tikseb 0.191149.

$$\frac{46060}{0.191149}\left(\frac{1}{400}-\frac{1}{700}\right)$$

Espandi \frac{46060}{0.191149} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000000.

$$\frac{46060000000}{191149}\left(\frac{1}{400}-\frac{1}{700}\right)$$

Naqqas il-frazzjoni \frac{46060000000}{191149} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2303.

$$\frac{20000000}{83}\left(\frac{1}{400}-\frac{1}{700}\right)$$

L-inqas multipli komuni ta' 400 u 700 huwa 2800. Ikkonverti \frac{1}{400} u \frac{1}{700} fi frazzjonijiet bid-denominatur 2800.

$$\frac{20000000}{83}\left(\frac{7}{2800}-\frac{4}{2800}\right)$$

Billi \frac{7}{2800} u \frac{4}{2800} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{20000000}{83}\times \frac{7-4}{2800}$$

Naqqas 4 minn 7 biex tikseb 3.

$$\frac{20000000}{83}\times \frac{3}{2800}$$

Immultiplika \frac{20000000}{83} b'\frac{3}{2800} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{20000000\times 3}{83\times 2800}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{20000000\times 3}{83\times 2800}.

$$\frac{60000000}{232400}$$

Naqqas il-frazzjoni \frac{60000000}{232400} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 400.

$$\frac{150000}{581}$$

Fattur

$$\frac{3 \cdot 2 ^ {4} \cdot 5 ^ {5}}{7 \cdot 83} = 258\frac{102}{581} = 258.1755593803787$$