d). 1/2 − 3/4 + 5/6 and d). 5(4)/(5) − 3(2)/(7)

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ScanSolve AI Tutor · Accepted Answer

Huu hapa utatuzi wa swali la kwanza (d):

Tafuta Kigawo Kidogo Zaidi cha Pamoja (LCM) cha madhehebu 2, 4, na 6.
LCM ya 2, 4, na 6 ni 12.
Badilisha kila sehemu kuwa sehemu sawa na dhehebu la 12.
$\frac{1}{2} = \frac{1 \times 6}{2 \times 6} = \frac{6}{12}$ $\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$ $\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$
Fanya hesabu ya kujumlisha na kutoa.
$\frac{6}{12} - \frac{9}{12} + \frac{10}{12} = \frac{6 - 9 + 10}{12} = \frac{7}{12}$
Jibu ni $\boxed{\frac{7}{12}}$ .

Huu hapa utatuzi wa swali la pili (d):
Badilisha namba mchanganyiko kuwa sehemu zisizofaa.
$5\frac{4}{5} = \frac{(5 \times 5) + 4}{5} = \frac{25 + 4}{5} = \frac{29}{5}$ $3\frac{2}{7} = \frac{(3 \times 7) + 2}{7} = \frac{21 + 2}{7} = \frac{23}{7}$
Tafuta Kigawo Kidogo Zaidi cha Pamoja (LCM) cha madhehebu 5 na 7.
LCM ya 5 na 7 ni $5 \times 7 = 35$ .
Badilisha kila sehemu kuwa sehemu sawa na dhehebu la 35.
$\frac{29}{5} = \frac{29 \times 7}{5 \times 7} = \frac{203}{35}$ $\frac{23}{7} = \frac{23 \times 5}{7 \times 5} = \frac{115}{35}$
Fanya hesabu ya kutoa.
$\frac{203}{35} - \frac{115}{35} = \frac{203 - 115}{35} = \frac{88}{35}$
Badilisha sehemu isiyofaa kuwa namba mchanganyiko.
$\frac{88}{35} = 2\frac{18}{35}$
Jibu ni $\boxed{2\frac{18}{35}}$ .

d). (1)/(2) - (3)/(4) + (5)/(6) and d). 5(4)/(5) - 3(2)/(7)