Issolvi 1.8-3.3-4.5:3.75/5.6:2frac{1{3}+2.5}

$$1.8 - \frac { 3.3 - 4.5 : 3.75 } { 5.6 : 2 \frac { 1 } { 3 } + 2.5 }$$

Evalwa

$$\frac{48}{35}\approx 1.371428571$$

Passi tas-Soluzzjonijiet

Espandi \frac{4.5}{3.75} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$1.8-\frac{3.3-\frac{450}{375}}{\frac{5.6}{\frac{2\times 3+1}{3}}+2.5}$$

Naqqas il-frazzjoni \frac{450}{375} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 75.

$$1.8-\frac{3.3-\frac{6}{5}}{\frac{5.6}{\frac{2\times 3+1}{3}}+2.5}$$

Ikkonverti n-numru deċimali 3.3 fi frazzjoni \frac{33}{10}.

$$1.8-\frac{\frac{33}{10}-\frac{6}{5}}{\frac{5.6}{\frac{2\times 3+1}{3}}+2.5}$$

L-inqas multipli komuni ta' 10 u 5 huwa 10. Ikkonverti \frac{33}{10} u \frac{6}{5} fi frazzjonijiet bid-denominatur 10.

$$1.8-\frac{\frac{33}{10}-\frac{12}{10}}{\frac{5.6}{\frac{2\times 3+1}{3}}+2.5}$$

Billi \frac{33}{10} u \frac{12}{10} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$1.8-\frac{\frac{33-12}{10}}{\frac{5.6}{\frac{2\times 3+1}{3}}+2.5}$$

Naqqas 12 minn 33 biex tikseb 21.

$$1.8-\frac{\frac{21}{10}}{\frac{5.6}{\frac{2\times 3+1}{3}}+2.5}$$

Iddividi 5.6 b'\frac{2\times 3+1}{3} billi timmultiplika 5.6 bir-reċiproku ta' \frac{2\times 3+1}{3}.

$$1.8-\frac{\frac{21}{10}}{\frac{5.6\times 3}{2\times 3+1}+2.5}$$

Immultiplika 5.6 u 3 biex tikseb 16.8.

$$1.8-\frac{\frac{21}{10}}{\frac{16.8}{2\times 3+1}+2.5}$$

Immultiplika 2 u 3 biex tikseb 6.

$$1.8-\frac{\frac{21}{10}}{\frac{16.8}{6+1}+2.5}$$

Żid 6 u 1 biex tikseb 7.

$$1.8-\frac{\frac{21}{10}}{\frac{16.8}{7}+2.5}$$

Espandi \frac{16.8}{7} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$1.8-\frac{\frac{21}{10}}{\frac{168}{70}+2.5}$$

Naqqas il-frazzjoni \frac{168}{70} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 14.

$$1.8-\frac{\frac{21}{10}}{\frac{12}{5}+2.5}$$

Ikkonverti n-numru deċimali 2.5 fi frazzjoni \frac{25}{10}. Naqqas il-frazzjoni \frac{25}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$1.8-\frac{\frac{21}{10}}{\frac{12}{5}+\frac{5}{2}}$$

L-inqas multipli komuni ta' 5 u 2 huwa 10. Ikkonverti \frac{12}{5} u \frac{5}{2} fi frazzjonijiet bid-denominatur 10.

$$1.8-\frac{\frac{21}{10}}{\frac{24}{10}+\frac{25}{10}}$$

Billi \frac{24}{10} u \frac{25}{10} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$1.8-\frac{\frac{21}{10}}{\frac{24+25}{10}}$$

Żid 24 u 25 biex tikseb 49.

$$1.8-\frac{\frac{21}{10}}{\frac{49}{10}}$$

Iddividi \frac{21}{10} b'\frac{49}{10} billi timmultiplika \frac{21}{10} bir-reċiproku ta' \frac{49}{10}.

$$1.8-\frac{21}{10}\times \frac{10}{49}$$

Immultiplika \frac{21}{10} b'\frac{10}{49} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$1.8-\frac{21\times 10}{10\times 49}$$

Annulla 10 fin-numeratur u d-denominatur.

$$1.8-\frac{21}{49}$$

Naqqas il-frazzjoni \frac{21}{49} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 7.

$$1.8-\frac{3}{7}$$

Ikkonverti n-numru deċimali 1.8 fi frazzjoni \frac{18}{10}. Naqqas il-frazzjoni \frac{18}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{9}{5}-\frac{3}{7}$$

L-inqas multipli komuni ta' 5 u 7 huwa 35. Ikkonverti \frac{9}{5} u \frac{3}{7} fi frazzjonijiet bid-denominatur 35.

$$\frac{63}{35}-\frac{15}{35}$$

Billi \frac{63}{35} u \frac{15}{35} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{63-15}{35}$$

Naqqas 15 minn 63 biex tikseb 48.

$$\frac{48}{35}$$

Fattur

$$\frac{3 \cdot 2 ^ {4}}{5 \cdot 7} = 1\frac{13}{35} = 1.3714285714285714$$