Issolvi 991/9100/9999/999999/100frac{101}{99}

$$99 \frac { 1 } { 9 } \frac { 100 } { 99 } \frac { 99 } { 99 } 99 \frac { 99 } { 100 } \frac { 101 } { 99 }$$

Evalwa

$$\frac{9099292}{891}\approx 10212.448933782$$

Passi tas-Soluzzjonijiet

Iddividi 99 b'99 biex tikseb1.

$$\frac{99\times 9+1}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Immultiplika 99 u 9 biex tikseb 891.

$$\frac{891+1}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Żid 891 u 1 biex tikseb 892.

$$\frac{892}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Immultiplika \frac{892}{9} b'\frac{100}{99} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{892\times 100}{9\times 99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{892\times 100}{9\times 99}.

$$\frac{89200}{891}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Immultiplika \frac{89200}{891} u 1 biex tikseb \frac{89200}{891}.

$$\frac{89200}{891}\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Immultiplika 99 u 100 biex tikseb 9900.

$$\frac{89200}{891}\times \frac{9900+99}{100}\times \frac{101}{99}$$

Żid 9900 u 99 biex tikseb 9999.

$$\frac{89200}{891}\times \frac{9999}{100}\times \frac{101}{99}$$

Immultiplika \frac{89200}{891} b'\frac{9999}{100} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{89200\times 9999}{891\times 100}\times \frac{101}{99}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{89200\times 9999}{891\times 100}.

$$\frac{891910800}{89100}\times \frac{101}{99}$$

Naqqas il-frazzjoni \frac{891910800}{89100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 9900.

$$\frac{90092}{9}\times \frac{101}{99}$$

Immultiplika \frac{90092}{9} b'\frac{101}{99} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{90092\times 101}{9\times 99}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{90092\times 101}{9\times 99}.

$$\frac{9099292}{891}$$

Fattur

$$\frac{2 ^ {2} \cdot 101 ^ {2} \cdot 223}{3 ^ {4} \cdot 11} = 10212\frac{400}{891} = 10212.448933782267$$