Question

1)3целых1/9:х=72)5/7:2/3=3)1целая10/36*1целую2/25=

Answer 1

1.

$3\frac{1}{9} = \frac{27}{9} \\ x = \frac{27}{9} \div 7 = \frac{27}{9 \times 7} = \frac{3}{7}$

2.

$\frac{5}{7} \div \frac{2}{3} = \frac{5 \times 3}{7 \times 2} = \frac{15}{14}$

3.

$1 \frac{10}{36} = \frac{46}{36} \\ 1 \frac{2}{25} = \frac{27}{25} \\ \frac{46 \times 27}{36 \times 25} = \frac{621}{450} = 1.38$

Answer 2

To solve the given equations, let's take them one by one:

1. $3\frac{1}{9} : x = 7$

To find the value of $x$, we need to isolate it on one side of the equation. To do that, we'll multiply both sides by $x$ to cancel out the division:

$x \times 3\frac{1}{9} = 7$

To multiply $x$ with $3\frac{1}{9}$, convert the mixed fraction into an improper fraction:

$x \times \frac{28}{9} = 7$

Now, to solve for $x$, divide both sides by $\frac{28}{9}$:

$x = \frac{7}{\frac{28}{9}}$

To divide by a fraction, multiply by its reciprocal:

$x = 7 \times \frac{9}{28}$

$x = \frac{63}{28}$

Simplify the fraction:

$x = 2\frac{7}{28}$

Now, further simplify the mixed fraction:

$x = 2\frac{1}{4}$

So, $x = 2\frac{1}{4}$.

2. $\frac{5}{7} : \frac{2}{3} = ?$

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

$\frac{5}{7} \times \frac{3}{2} = \frac{5 \times 3}{7 \times 2} = \frac{15}{14}$

So, $\frac{5}{7} : \frac{2}{3} = \frac{15}{14}$.

3. $1\frac{10}{36} \times 1\frac{2}{25} = ?$

First, convert the mixed fractions into improper fractions:

$1\frac{10}{36} = \frac{36 + 10}{36} = \frac{46}{36}$

$1\frac{2}{25} = \frac{25 + 2}{25} = \frac{27}{25}$

Now, multiply the two fractions:

$\frac{46}{36} \times \frac{27}{25} = \frac{46 \times 27}{36 \times 25} = \frac{1242}{900}$

Simplify the fraction:

$\frac{1242}{900} = \frac{207}{150}$

So, $1\frac{10}{36} \times 1\frac{2}{25} = \frac{207}{150}$.