Issolvi 31/4/2frac{1{4}}=191/2/11frac{1{4}}

$$\frac { 3 \frac { 1 } { 4 } } { 2 \frac { 1 } { 4 } } = \frac { 19 \frac { 1 } { 2 } } { 11 \frac { 1 } { 4 } }$$

Ivverifika

Passi tas-Soluzzjonijiet

Iddividi \frac{3\times 4+1}{4} b'\frac{2\times 4+1}{4} billi timmultiplika \frac{3\times 4+1}{4} bir-reċiproku ta' \frac{2\times 4+1}{4}.

$$\frac{\left(3\times 4+1\right)\times 4}{4\left(2\times 4+1\right)}=\frac{\frac{19\times 2+1}{2}}{\frac{11\times 4+1}{4}}$$

Annulla 4 fin-numeratur u d-denominatur.

$$\frac{1+3\times 4}{1+2\times 4}=\frac{\frac{19\times 2+1}{2}}{\frac{11\times 4+1}{4}}$$

Immultiplika 3 u 4 biex tikseb 12.

$$\frac{1+12}{1+2\times 4}=\frac{\frac{19\times 2+1}{2}}{\frac{11\times 4+1}{4}}$$

Żid 1 u 12 biex tikseb 13.

$$\frac{13}{1+2\times 4}=\frac{\frac{19\times 2+1}{2}}{\frac{11\times 4+1}{4}}$$

Immultiplika 2 u 4 biex tikseb 8.

$$\frac{13}{1+8}=\frac{\frac{19\times 2+1}{2}}{\frac{11\times 4+1}{4}}$$

Żid 1 u 8 biex tikseb 9.

$$\frac{13}{9}=\frac{\frac{19\times 2+1}{2}}{\frac{11\times 4+1}{4}}$$

Iddividi \frac{19\times 2+1}{2} b'\frac{11\times 4+1}{4} billi timmultiplika \frac{19\times 2+1}{2} bir-reċiproku ta' \frac{11\times 4+1}{4}.

$$\frac{13}{9}=\frac{\left(19\times 2+1\right)\times 4}{2\left(11\times 4+1\right)}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{13}{9}=\frac{2\left(1+2\times 19\right)}{1+4\times 11}$$

Immultiplika 2 u 19 biex tikseb 38.

$$\frac{13}{9}=\frac{2\left(1+38\right)}{1+4\times 11}$$

Żid 1 u 38 biex tikseb 39.

$$\frac{13}{9}=\frac{2\times 39}{1+4\times 11}$$

Immultiplika 2 u 39 biex tikseb 78.

$$\frac{13}{9}=\frac{78}{1+4\times 11}$$

Immultiplika 4 u 11 biex tikseb 44.

$$\frac{13}{9}=\frac{78}{1+44}$$

Żid 1 u 44 biex tikseb 45.

$$\frac{13}{9}=\frac{78}{45}$$

Naqqas il-frazzjoni \frac{78}{45} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{13}{9}=\frac{26}{15}$$

L-inqas multipli komuni ta' 9 u 15 huwa 45. Ikkonverti \frac{13}{9} u \frac{26}{15} fi frazzjonijiet bid-denominatur 45.

$$\frac{65}{45}=\frac{78}{45}$$

Qabbel \frac{65}{45} u \frac{78}{45}.

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