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Monica [59]
3 years ago
14

Simplify ( 9 + 1/6 ) ÷ ( 1.8 + 2 3/5 )

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
4 0

Answer:

Exact Form = 25/12

Decimal Form = 2.083

Mixed Number Form = 2 1/12

jarptica [38.1K]3 years ago
4 0

The solution of ( 9 + 1/6 ) ÷ ( 1.8 + 2 3/5 ) is \frac{25}{12}

<u>Solution:</u>

Given expression is \left(9+\frac{1}{6}\right) \div\left(1.8+2 \frac{3}{5}\right)

We have to simplify it.

Now take the expression,  

\Rightarrow \left(9+\frac{1}{6}\right) \div\left(1.8+2 \frac{3}{5}\right)

Converting the mixed fraction 2\frac{3}{5} we get,

\begin{array}{ll}{\rightarrow} & {\left(9+\frac{1}{6}\right) /\left(1.8+\frac{2 \times 5+3}{5}\right)} \\\\ {\rightarrow} & {\left(9+\frac{1}{6}\right) /\left(1.8+\frac{10+3}{5}\right)}\end{array}

\begin{array}{ll}{\rightarrow} & {\left(2+\frac{1}{6}\right) /\left(1.8+\frac{13}{5}\right)} \\\\ {\rightarrow} & {\left(\frac{9 \times 6+1}{6}\right) /\left(\frac{1.8 \times 5+13}{5}\right)}\end{array}

\begin{array}{c}{\rightarrow \quad\left(\frac{54+1}{6}\right) /\left(\frac{9+13}{5}\right)} \\\\ {\rightarrow \frac{55}{6} / \frac{22}{5}}\end{array}

\begin{array}{c}{\Rightarrow \quad \frac{55}{6} \times \frac{5}{22}}\\\\ {\Rightarrow \quad \frac{5}{6} \times \frac{5}{2}}\\\\ {\Rightarrow \quad \frac{25}{12}}\end{array}

Hence, the value of the given expression is \frac{25}{12}

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