How do you simplify 30:75?

Question

Jason Duke · Accepted Answer

Step 1  Given: 30÷75  =3075  =25×1515  =25

Mazzuranavf · Accepted Answer

Step 1
Simplifying a ratio is similar to simplifying a fraction.
That is we look for a common factor that divides into both numbers and 'cancel' them
Since 30 has 0 as it's last digit and 75 has 5, this indicates that 5 is a common factor as 5 divides into numbers whose last digit is $\frac{0}{5}$ .
Thus $(30 \div 5) : (75 \div 5) = 6 : 15$
We can simplify further by dividing both 6 and 15 by 3.
$\Rightarrow (6 \div 3) : (15 \div 3) = 2 : 5 \leftarrow in simplest form$
A ratio can also be expressed as a fraction and simplified by 'scoring' out the number and replacing it by the value after division.
$\Rightarrow 30 : 75 = \frac{30}{75} = \frac{⧸ 30^{6}}{⧸ 75^{15}} = \frac{6}{15} = \frac{⧸ 6^{2}}{⧸ 15^{5}} = \frac{2}{5}$

RizerMix · Accepted Answer

Step 1 The fraction 3075 is equivalent to 25 This is a proper fraction once the absolute value of the top number or numerator (30) is smaller than the absolute value of the bottom number or denomintor (75). The fraction 3075 can be reduced. We will use the Greatest Common Factor (GCF) method to simplify it. The GCF is the largest number between which two or more numbers can be divided evenly. To find the GCF we list the the numerator and denominator factors (*) then we find the largest number that is repeated in both lists: 1) The factors of 30 are 1,2,3,5,6,10,15,30; 2) The factors of 75 are 1,3,5,15,25,75. We can see that the GCD is 15 because it is the largest number by which 30 y 75 can be divided without leaving any residue. To reduce this fraction, simply divide the numerator and denominator by 15 (the GCF). So, 3075=30÷1575÷15=25 Thu, 3075 is equivalent to 25 in the reduced form. Note: The factors are numbers that multiply each other to get another number. For example, 2 and 3 are factors of 6, because by multiplying them you get 6. The fraction 3075 is also equal to 30÷75 and can also be expressed as a decimal as 0.4 and expressed as a percentage as 40%.

How do you simplify 30:75?

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