Issolvi (phi)11/4*7div(127/12-111/3)

$$( \phi ) 1 \frac { 1 } { 4 } \times 7 \div ( 12 \frac { 7 } { 12 } - 11 \frac { 1 } { 3 } )$$

Evalwa

$$7ϕ$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 4 biex tikseb 4.

$$\frac{ϕ\times \frac{4+1}{4}\times 7}{\frac{12\times 12+7}{12}-\frac{11\times 3+1}{3}}$$

Żid 4 u 1 biex tikseb 5.

$$\frac{ϕ\times \frac{5}{4}\times 7}{\frac{12\times 12+7}{12}-\frac{11\times 3+1}{3}}$$

Esprimi \frac{5}{4}\times 7 bħala frazzjoni waħda.

$$\frac{ϕ\times \frac{5\times 7}{4}}{\frac{12\times 12+7}{12}-\frac{11\times 3+1}{3}}$$

Immultiplika 5 u 7 biex tikseb 35.

$$\frac{ϕ\times \frac{35}{4}}{\frac{12\times 12+7}{12}-\frac{11\times 3+1}{3}}$$

Immultiplika 12 u 12 biex tikseb 144.

$$\frac{ϕ\times \frac{35}{4}}{\frac{144+7}{12}-\frac{11\times 3+1}{3}}$$

Żid 144 u 7 biex tikseb 151.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151}{12}-\frac{11\times 3+1}{3}}$$

Immultiplika 11 u 3 biex tikseb 33.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151}{12}-\frac{33+1}{3}}$$

Żid 33 u 1 biex tikseb 34.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151}{12}-\frac{34}{3}}$$

L-inqas multipli komuni ta' 12 u 3 huwa 12. Ikkonverti \frac{151}{12} u \frac{34}{3} fi frazzjonijiet bid-denominatur 12.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151}{12}-\frac{136}{12}}$$

Billi \frac{151}{12} u \frac{136}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151-136}{12}}$$

Naqqas 136 minn 151 biex tikseb 15.

$$\frac{ϕ\times \frac{35}{4}}{\frac{15}{12}}$$

Naqqas il-frazzjoni \frac{15}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{ϕ\times \frac{35}{4}}{\frac{5}{4}}$$

Iddividi ϕ\times \frac{35}{4} b'\frac{5}{4} billi timmultiplika ϕ\times \frac{35}{4} bir-reċiproku ta' \frac{5}{4}.

$$\frac{ϕ\times \frac{35}{4}\times 4}{5}$$

Annulla 4 u 4.

$$\frac{ϕ\times 35}{5}$$

Iddividi ϕ\times 35 b'5 biex tiksebϕ\times 7.

$$ϕ\times 7$$

Espandi

$$7ϕ$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 4 biex tikseb 4.

$$\frac{ϕ\times \frac{4+1}{4}\times 7}{\frac{12\times 12+7}{12}-\frac{11\times 3+1}{3}}$$

Żid 4 u 1 biex tikseb 5.

$$\frac{ϕ\times \frac{5}{4}\times 7}{\frac{12\times 12+7}{12}-\frac{11\times 3+1}{3}}$$

Esprimi \frac{5}{4}\times 7 bħala frazzjoni waħda.

$$\frac{ϕ\times \frac{5\times 7}{4}}{\frac{12\times 12+7}{12}-\frac{11\times 3+1}{3}}$$

Immultiplika 5 u 7 biex tikseb 35.

$$\frac{ϕ\times \frac{35}{4}}{\frac{12\times 12+7}{12}-\frac{11\times 3+1}{3}}$$

Immultiplika 12 u 12 biex tikseb 144.

$$\frac{ϕ\times \frac{35}{4}}{\frac{144+7}{12}-\frac{11\times 3+1}{3}}$$

Żid 144 u 7 biex tikseb 151.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151}{12}-\frac{11\times 3+1}{3}}$$

Immultiplika 11 u 3 biex tikseb 33.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151}{12}-\frac{33+1}{3}}$$

Żid 33 u 1 biex tikseb 34.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151}{12}-\frac{34}{3}}$$

L-inqas multipli komuni ta' 12 u 3 huwa 12. Ikkonverti \frac{151}{12} u \frac{34}{3} fi frazzjonijiet bid-denominatur 12.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151}{12}-\frac{136}{12}}$$

Billi \frac{151}{12} u \frac{136}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{ϕ\times \frac{35}{4}}{\frac{151-136}{12}}$$

Naqqas 136 minn 151 biex tikseb 15.

$$\frac{ϕ\times \frac{35}{4}}{\frac{15}{12}}$$

Naqqas il-frazzjoni \frac{15}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{ϕ\times \frac{35}{4}}{\frac{5}{4}}$$

Iddividi ϕ\times \frac{35}{4} b'\frac{5}{4} billi timmultiplika ϕ\times \frac{35}{4} bir-reċiproku ta' \frac{5}{4}.

$$\frac{ϕ\times \frac{35}{4}\times 4}{5}$$

Annulla 4 u 4.

$$\frac{ϕ\times 35}{5}$$

Iddividi ϕ\times 35 b'5 biex tiksebϕ\times 7.

$$ϕ\times 7$$