Multiplication and Division of Signed Mumbers: Division of positive numbers

$+24:+8=$

Let's write the exercise in the form of a simple fraction:

$\frac{24}{8}=$

We'll factor 24 into a multiplication exercise:

$\frac{3\times8}{8}=$

We'll reduce the 8 in both the numerator and denominator of the fraction and get:

$\frac{3}{1}=3$

$3$

$+\frac{1}{2}:+4=$

Let's convert 4 to a simple fraction:

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

Now the exercise we received is:

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

Let's convert the division exercise to a multiplication exercise, and don't forget to switch the numerator and denominator in the second fraction:

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

We'll combine it into one multiplication exercise and solve:

$\frac{1\times1}{2\times4}=\frac{1}{8}$

$\frac{1}{8}$

$(+12):(+6)=$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

Therefore:

$+12:+6=+2$

$2$

$+2\frac{1}{7}:+\frac{1}{4}=$

Let's convert 2 and seven-sevenths to a simple fraction:

$2\frac{1}{7}=2+\frac{1}{7}=2\times\frac{7}{7}+\frac{1}{7}=\frac{2\times7}{7}+\frac{1}{7}=\frac{14}{7}+\frac{1}{7}=\frac{14+1}{7}=\frac{15}{7}$

Now the exercise we received is:

$\frac{15}{7}:\frac{1}{4}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to switch the numerator and denominator in the second fraction:

$\frac{15}{7}\times\frac{4}{1}=$

Let's combine into one multiplication exercise:

$\frac{15\times4}{7\times1}=\frac{60}{7}$

Let's factor 60 into an addition exercise:

$\frac{56+4}{7}=$

Let's separate the exercise into addition between fractions:

$\frac{56}{7}+\frac{4}{7}=$

Let's solve the first fraction exercise and we get:

$8+\frac{4}{7}=8\frac{4}{7}$

$8\frac{4}{7}$

$+9\frac{1}{4}:+\frac{24}{7}$

Let's convert 9 and a quarter to a simple fraction:

$9\frac{1}{4}=9+\frac{1}{4}=\frac{9\times4}{4}+\frac{1}{4}=\frac{36}{4}+\frac{1}{4}=\frac{36+1}{4}=\frac{37}{4}$

Now the exercise we got is:

$\frac{37}{4}:\frac{24}{7}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to switch the numerator and denominator in the second fraction:

$\frac{37}{4}\times\frac{7}{24}=$

Let's combine it into one multiplication exercise:

$\frac{37\times7}{24\times4}=\frac{259}{96}$

$\frac{259}{96}$

$(+9):(+9)=$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

Therefore:

$+9:+9=+1$

$1$

$+5:+30=$

Let's write the exercise in the form of a simple fraction:

$\frac{5}{30}=$

We'll break down the 30 into a multiplication exercise:

$\frac{5}{5\times6}=$

Let's reduce the 5 in both the numerator and denominator of the fraction, and we'll get:

$\frac{1}{6}$

$\frac{1}{6}$

$+\text{0}.4:+3=$

Let's convert 0.4 to a simple fraction:

$0.4=\frac{4}{10}$

Let's convert 3 to a simple fraction:

$3=\frac{3}{1}$

Now the exercise we received is:

$\frac{4}{10}:\frac{3}{1}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to switch the numerator and denominator in the second fraction:

$\frac{4}{10}\times\frac{1}{3}=$

Let's combine into one multiplication exercise:

$\frac{4\times1}{10\times3}=\frac{4}{30}$

Let's break down the numerator and denominator into multiplication exercises:

$\frac{2\times2}{15\times2}=$

Let's reduce the 2 in the numerator and denominator and we get:

$\frac{2}{15}$

$\frac{2}{15}$

$(+28):(+7)=$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

Therefore:

$+28:+7=+4$

$4$

$(+32):(+8)=$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

Therefore:

$+32:+8=+4$

$4$

$(+1):(+0.25)=$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

First, let's convert the numbers to fractions:

$1=\frac{1}{1}$

$0.25=\frac{25}{100}$

Now we have the following problem:

$\frac{1}{1}:\frac{25}{100}=$

Let's convert the division to multiplication, and don't forget to switch the numerator and denominator:

$\frac{1}{1}\times\frac{100}{25}=$

Let's combine everything into one problem:

$\frac{1\times100}{1\times25}=$

Let's solve the multiplication in the numerator and denominator and we get:

$\frac{100}{25}=4$

$4$

$(+\frac{1}{2}):(+9\frac{1}{2})=$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

First, let's convert the mixed fraction to an improper fraction as follows:

$9\frac{1}{2}=\frac{9\times2+1}{2}=\frac{18+1}{2}=\frac{19}{2}$

Now we have the problem:

$\frac{1}{2}:\frac{19}{2}=$

Let's convert the division to multiplication, and don't forget to switch the numerator and denominator:

$\frac{1}{2}\times\frac{2}{19}=$

We'll simplify the 2 and get:

$\frac{1}{19}$

$\frac{1}{19}$

$(+0.15):(+0.05)=$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

First, we will convert each mixed fraction to an improper fraction as follows:

$0.15=\frac{15}{100}$

$0.05=\frac{5}{100}$

Now we have the problem:

$\frac{15}{100}:\frac{5}{100}=$

We will convert the division to multiplication, and don't forget to switch the numerator and denominator:

$\frac{15}{100}\times\frac{100}{5}=$

We will simplify the 100 and get:

$\frac{15}{5}=3$

$3$

$(\pm3\frac{3}{13}):(\pm1\frac{12}{13})=$

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

First, we'll convert each mixed fraction to an improper fraction as follows:

$3\frac{3}{13}=\frac{3\times13+3}{13}=\frac{39+3}{13}=\frac{42}{13}$

$1\frac{12}{13}=\frac{1\times13+12}{13}=\frac{13+12}{13}=\frac{25}{13}$

Now we have:

$\frac{42}{13}:\frac{25}{13}$

We'll convert the division problem to multiplication, and don't forget to switch the numerator and denominator:

$\frac{42}{13}\times\frac{13}{25}=$

We'll simplify the 13 and get:

$\frac{42}{25}=$

We'll factor 42 into an addition problem:

$\frac{25+17}{25}=\frac{25}{25}+\frac{17}{25}=$

We'll solve accordingly and get:

$1+\frac{17}{25}=1\frac{17}{25}$

$1\frac{17}{25}$

$+\text{4}.8:+3=$

$1.6$

$(+6\frac{8}{9}):(+6\frac{1}{2})=$

$\frac{124}{117}$

$(+45\frac{7}{15}):(+9)=$

$\frac{682}{135}$