Fractions - SSAT Middle Level: Quantitative

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

so, in ascending order, the numbers themselves are

,

or, as fractions,

.

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

so, in ascending order, the numbers themselves are

,

or, as fractions,

.

and , so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.

and , so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.

and , so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.

and , so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

From the decimal equivalents, the fractions can be arranged as follows:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

From the decimal equivalents, the fractions can be arranged as follows:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

so, in ascending order, the numbers themselves are

,

or, as fractions,

.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least.

This can be done by going from right to left starting with the units digit. The units and tenths digits are the same, but the hundredths digit of 0.40444 is the least, so this number is less than the other two. The thousandths digit of 0.44044 is less than that of 0.44404, so it is the lesser of the two that remain. Therefore, in descending order, the absolute values are

,

and in ascending order, the numbers are

.

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

From the decimal equivalents, the fractions can be arranged as follows:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

so, in ascending order, the numbers themselves are

,

or, as fractions,

.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least.

This can be done by going from right to left starting with the units digit. The units and tenths digits are the same, but the hundredths digit of 0.40444 is the least, so this number is less than the other two. The thousandths digit of 0.44044 is less than that of 0.44404, so it is the lesser of the two that remain. Therefore, in descending order, the absolute values are

,

and in ascending order, the numbers are

.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least.

This can be done by going from right to left starting with the units digit. The units and tenths digits are the same, but the hundredths digit of 0.40444 is the least, so this number is less than the other two. The thousandths digit of 0.44044 is less than that of 0.44404, so it is the lesser of the two that remain. Therefore, in descending order, the absolute values are

,

and in ascending order, the numbers are

.

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least.

This can be done by going from right to left starting with the units digit. The units and tenths digits are the same, but the hundredths digit of 0.40444 is the least, so this number is less than the other two. The thousandths digit of 0.44044 is less than that of 0.44404, so it is the lesser of the two that remain. Therefore, in descending order, the absolute values are

,

and in ascending order, the numbers are

.

I think the easiest way to do this problem is to make a common denominator. 4 is the smallest common denominator.

is equivalent to .

When you add and you get .

reduces to and is equivalent to .

First, we need to find a common denominator. In this case, we can convert both denominators to .

Now we can add the numerators.

Both the numerator and denominator are divisible by , so we can simplify.

Add the fractions by writing each with the lowest common denominator, which is .

Add the integers:

Now add the two sums:

The sum of two numbers of unlike sign is the difference of their absolute values, with the sign of the "dominant" number (the positive number here) affixed:

Subtract vertically by aligning the decimal points, making sure you append the 3.2 with a placeholder zero:

This is the correct choice.