Simplify: 1 /6 X 1 /4 ÷ 2 3

Question

ScanSolve AI Tutor · Accepted Answer

Haya master, hapa kuna masuluhisho ya maswali yako:

1. Workout $\frac{2.7 \times 4.8}{2.4 \times 3.6}$

Umeanza vizuri kwa kuzidisha nambari za juu na chini.

Zidisha nambari za juu (numerator).
$2.7 \times 4.8 = 12.96$
Zidisha nambari za chini (denominator).
$2.4 \times 3.6 = 8.64$
Gawanya matokeo ya numerator kwa matokeo ya denominator.
$\frac{12.96}{8.64}$
Ili kurahisisha hesabu, unaweza kuzidisha nambari zote mbili kwa 100 ili kuondoa desimali:
$\frac{12.96 \times 100}{8.64 \times 100} = \frac{1296}{864}$
Sasa gawanya:
$\frac{1296}{864} = 1.5$
Jibu la mwisho:
$\boxed{1.5}$
2. Simplify: $1\frac{1}{6} \times 1\frac{1}{4} \div 2\frac{1}{3}$

Kwanza, badilisha nambari mchanganyiko kuwa sehemu zisizofaa.
Badilisha nambari mchanganyiko kuwa sehemu zisizofaa.
$1\frac{1}{6} = \frac{(1 \times 6) + 1}{6} = \frac{7}{6}$ $1\frac{1}{4} = \frac{(1 \times 4) + 1}{4} = \frac{5}{4}$ $2\frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{7}{3}$
Andika upya usemi kwa kutumia sehemu zisizofaa.
$\frac{7}{6} \times \frac{5}{4} \div \frac{7}{3}$
Badilisha mgawanyiko kuwa kuzidisha kwa kutumia kinyume (reciprocal) cha sehemu ya mwisho.
$\frac{7}{6} \times \frac{5}{4} \times \frac{3}{7}$
Zidisha sehemu zote na kurahisisha.
Unaweza kufuta nambari zinazofanana kabla ya kuzidisha.
$\frac{\cancel{7}}{6} \times \frac{5}{4} \times \frac{3}{\cancel{7}}$ $= \frac{1}{6} \times \frac{5}{4} \times \frac{3}{1}$
Sasa, rahisha 3 na 6:
$= \frac{1}{\cancel{6}_2} \times \frac{5}{4} \times \frac{\cancel{3}_1}{1}$ $= \frac{1}{2} \times \frac{5}{4} \times \frac{1}{1}$ $= \frac{1 \times 5 \times 1}{2 \times 4 \times 1}$ $= \frac{5}{8}$
Jibu la mwisho:
$\boxed{\frac{5}{8}}$

Answer