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Georgia [21]
3 years ago
14

NEED HELP!! WILL GIVE BRAINLIEST!! PLEASE COMPLETE BOTH!

Mathematics
2 answers:
tatyana61 [14]3 years ago
6 0

Consider the first radical :

{:\implies \quad \sf 5\times 2\dfrac16}

Using the properties of mixed fraction, writing the mixed fraction as an improper fraction, we will be having

{:\implies \quad \sf 5\times \bigg(\dfrac{6\times 2+1}{6}\bigg)}

{:\implies \quad \sf 5\times \bigg(\dfrac{12+1}{6}\bigg)}

{:\implies \quad \sf 5\times \dfrac{13}{6}}

{:\implies \quad \sf \dfrac{65}{6}}

{:\implies \quad \boxed{\bf{10\dfrac56}}}

<em>Hence, Option D) is correct </em>

Now, coming to the 2nd question :

{:\implies \quad \sf 3\dfrac{1}{2}\times 1\dfrac{2}{3}}

{:\implies \quad \sf \bigg(\dfrac{3\times 2+1}{2}\bigg)\times \bigg(\dfrac{3\times 1+2}{3}\bigg)}

{:\implies \quad \sf \bigg(\dfrac{6+1}{2}\bigg)\times \bigg(\dfrac{3+2}{3}\bigg)}

{:\implies \quad \sf \dfrac{7}{2}\times \dfrac{5}{3}}

{:\implies \quad \sf \dfrac{35}{6}}

Now, Rewriting this improper fraction as mixed fraction, we will be having :

{:\implies \quad \boxed{\bf{5\dfrac56}}}

<em>Hence, Option C) is correct</em>

lutik1710 [3]3 years ago
5 0

Answer:

10 \frac{5}{6}\\\\5 \frac{5}{6}

Step-by-step explanation:

5 \times 2 \frac{1}{6}  \\  \\  = 5 \times  \frac{13}{6}  \\  \\  =  \frac{65}{6}  \\  \\  = 10 \frac{5}{6}  \\  \\  \\ 3 \frac{1}{2}  \times 1 \frac{2}{3}  \\  \\  =  \frac{7}{2}  \times  \frac{5}{3}  \\  \\  =  \frac{35}{6}  \\  \\  = 5 \frac{5}{6}

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