Compare 2/5 and 1/10. what is the denominator

Mathematics

2 answers:

omeli [17]3 years ago

7 0

1/5 five being the denominator, because in math you must always simplify

andrew-mc [135]3 years ago

4 0

For 2/5 the denominator is 5 remember the bottom number is always the denominator and the top number is always the numerator.

For 1/10 the denominator is 10.

The bigger fraction is 2/5

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Step 3

Step-by-step explanation:

The solution is given in the image attached. The steps are:

Step 1:

$2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}$

Step 2: simplifying the coefficients of x:

$2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}$

Step 3: Adding 1/4 to both sides

$\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\$

Step 4: Multiplying both sides by 5/7

$\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10$

The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3