Issolvi 1+4/2/4-frac{1{4}}*5+frac{2/{left(frac{1{2}right)}^2}}{{left(1/4right)}^4}

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

Evalwa

$$\frac{13312}{5}=2662.4$$

Passi tas-Soluzzjonijiet

Iddividi 4 b'2 biex tikseb2.

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

Żid 1 u 2 biex tikseb 3.

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

Ikkonverti 4 fi frazzjoni \frac{16}{4}.

$$\frac{3}{\frac{16}{4}-\frac{1}{4}}\times \frac{5+\frac{2}{\left(\frac{1}{2}\right)^{2}}}{\left(\frac{1}{4}\right)^{4}}$$

Billi \frac{16}{4} u \frac{1}{4} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{3}{\frac{16-1}{4}}\times \frac{5+\frac{2}{\left(\frac{1}{2}\right)^{2}}}{\left(\frac{1}{4}\right)^{4}}$$

Naqqas 1 minn 16 biex tikseb 15.

$$\frac{3}{\frac{15}{4}}\times \frac{5+\frac{2}{\left(\frac{1}{2}\right)^{2}}}{\left(\frac{1}{4}\right)^{4}}$$

Iddividi 3 b'\frac{15}{4} billi timmultiplika 3 bir-reċiproku ta' \frac{15}{4}.

$$3\times \frac{4}{15}\times \frac{5+\frac{2}{\left(\frac{1}{2}\right)^{2}}}{\left(\frac{1}{4}\right)^{4}}$$

Esprimi 3\times \frac{4}{15} bħala frazzjoni waħda.

$$\frac{3\times 4}{15}\times \frac{5+\frac{2}{\left(\frac{1}{2}\right)^{2}}}{\left(\frac{1}{4}\right)^{4}}$$

Immultiplika 3 u 4 biex tikseb 12.

$$\frac{12}{15}\times \frac{5+\frac{2}{\left(\frac{1}{2}\right)^{2}}}{\left(\frac{1}{4}\right)^{4}}$$

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

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

Ikkalkula \frac{1}{2} bil-power ta' 2 u tikseb \frac{1}{4}.

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

Iddividi 2 b'\frac{1}{4} billi timmultiplika 2 bir-reċiproku ta' \frac{1}{4}.

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

Immultiplika 2 u 4 biex tikseb 8.

$$\frac{4}{5}\times \frac{5+8}{\left(\frac{1}{4}\right)^{4}}$$

Żid 5 u 8 biex tikseb 13.

$$\frac{4}{5}\times \frac{13}{\left(\frac{1}{4}\right)^{4}}$$

Ikkalkula \frac{1}{4} bil-power ta' 4 u tikseb \frac{1}{256}.

$$\frac{4}{5}\times \frac{13}{\frac{1}{256}}$$

Iddividi 13 b'\frac{1}{256} billi timmultiplika 13 bir-reċiproku ta' \frac{1}{256}.

$$\frac{4}{5}\times 13\times 256$$

Immultiplika 13 u 256 biex tikseb 3328.

$$\frac{4}{5}\times 3328$$

Esprimi \frac{4}{5}\times 3328 bħala frazzjoni waħda.

$$\frac{4\times 3328}{5}$$

Immultiplika 4 u 3328 biex tikseb 13312.

$$\frac{13312}{5}$$

Fattur

$$\frac{2 ^ {10} \cdot 13}{5} = 2662\frac{2}{5} = 2662.4$$