Use properties of rational number to simplify the expression 125.06 + 0.47 + 36

23 answers

To simplify the given expression, we can add the rational numbers together.

125.06 + 0.47 + 36

To add rational numbers, we need to align the decimal points and then add the numbers:

125.06
+ 0.47
+ 36.00
_________
= 161.53
evaluate the given expression 6 9/10 - 4 3/10 - 1/10
To evaluate the expression, we first need to convert the mixed numbers into improper fractions:

6 9/10 - 4 3/10 - 1/10

= (6*10 + 9)/10 - (4*10 + 3)/10 - 1/10

= (69/10) - (43/10) - (1/10)

Next, we can combine the numerator terms and keep the denominator the same:

= (69 - 43 - 1)/10

= 25/10

Since 25 is divisible by 5 and 10, we can simplify the fraction:

= 5/2

Therefore, the expression 6 9/10 - 4 3/10 - 1/10 is equal to 5/2.
wrong your choices are

3 3/10

2 7/10

2 1/2

3 1/10
Apologies for the mistake. Let's redo the calculation:

To evaluate the expression, we need to subtract the given rational numbers:

6 9/10 - 4 3/10 - 1/10

First, convert the mixed numbers into improper fractions:

(6*10 + 9)/10 - (4*10 + 3)/10 - 1/10

= (69/10) - (43/10) - (1/10)

Next, combine the numerator terms:

= (69 - 43 - 1)/10

= (25/10)

Since 25 is divisible by 5 and 10, we can simplify the fraction:

= (5 * 5)/(2 * 5)

= 5/2

Therefore, the expression 6 9/10 - 4 3/10 - 1/10 is equal to 5/2, which is the same as 2 1/2.
evaluate the given expression -14.6 - 12.8 + (-12.8)
To evaluate the expression -14.6 - 12.8 + (-12.8), we simply add or subtract the numbers in order:

-14.6 - 12.8 + (-12.8)

= -27.4 + (-12.8)

Combining the two negative numbers:

= -27.4 - 12.8

Now we can add the numbers:

= -40.2

Therefore, the expression -14.6 - 12.8 + (-12.8) is equal to -40.2.
wrong your choices are

-5.7
-23.5
23.5
5.7
Apologies for the mistake. Let's redo the calculation:

To evaluate the expression -14.6 - 12.8 + (-12.8), we need to add or subtract the numbers in order:

-14.6 - 12.8 + (-12.8)

First, let's combine the negative numbers:

-14.6 + (-12.8) + (-12.8)

Next, add the positive and negative numbers:

= -14.6 - 12.8 - 12.8

Now we can add the numbers:

= -40.2

Therefore, the expression -14.6 - 12.8 + (-12.8) is equal to -40.2, which matches the option -40.2.
that's NOT AN OPTION!!!!
Apologies for the confusion. Let's go through the calculation again:

To evaluate the expression -14.6 - 12.8 + (-12.8), we need to add or subtract the numbers in order:

-14.6 - 12.8 + (-12.8)

Let's combine the negative numbers:

= -14.6 + (-12.8) + (-12.8)

Now we can add the numbers:

= -14.6 + (-12.8) + (-12.8)

= -14.6 - 12.8 - 12.8

= -40.2

Therefore, the expression -14.6 - 12.8 + (-12.8) is equal to -40.2, which is not one of the given options. Apologies for the incorrect information provided earlier, and thank you for bringing it to my attention.
simplify the following expression
-3 + 4/7 - 1/5
To simplify the given expression, we need to find a common denominator for the fractions and combine all the terms:

-3 + 4/7 - 1/5

First, let's find a common denominator for 7 and 5, which is 35.

= (-3 * 35/35) + (4/7 * 5/5) - (1/5 * 7/7)

= -105/35 + 20/35 - 7/35

Now we can combine the terms with the same denominator:

= (-105 + 20 - 7)/35

= -92/35

Therefore, the simplified expression -3 + 4/7 - 1/5 is equal to -92/35.
the choices are;

-2 18/35
-2 12/35
-2 8/35
-2 22/35
To simplify the expression -3 + 4/7 - 1/5, let's find a common denominator for 7 and 5, which is 35:

-3 + 4/7 - 1/5 = -3 * 35/35 + 4/7 * 5/5 - 1/5 * 7/7

This simplifies to:

-105/35 + 20/35 - 7/35 = (-105 + 20 - 7)/35 = -92/35

Now, let's convert the improper fraction -92/35 into a mixed number:

-92 Ă· 35 = -2 remainder 22

Therefore, the simplified expression -3 + 4/7 - 1/5 is equivalent to -2 22/35, which matches the option -2 22/35.
correct
Thank you for confirming! If you have any more questions, feel free to ask.
3/5 + 1 1/5 - 2/5
To simplify the expression 3/5 + 1 1/5 - 2/5, we need to convert the mixed number (1 1/5) to an improper fraction.

First, let's convert 1 1/5 to an improper fraction:

1 1/5 = (1 * 5 + 1)/5 = 6/5

Now, let's rewrite the expression with the improper fraction:

3/5 + 6/5 - 2/5

Since the denominators are the same for all fractions, we can add the numerators directly:

(3 + 6 - 2)/5 = 7/5

So, the simplified expression 3/5 + 1 1/5 - 2/5 is equal to 7/5.
as a mixed number
To convert the improper fraction 7/5 to a mixed number, we divide the numerator (7) by the denominator (5):

7 Ă· 5 = 1 remainder 2

So the mixed number is 1 2/5.

Therefore, the simplified expression 3/5 + 1 1/5 - 2/5 is equal to 1 2/5.
25/4 + 33/7 + 39/4
To simplify the given expression, we need to find a common denominator for the fractions and then add them together.

The common denominator for 4 and 7 is 28.

Now, let's rewrite the fractions with the common denominator:

25/4 + 33/7 + 39/4

= (25 * 7/7 * 4) + (33 * 4/4 * 7) + (39 * 7/7 * 4)

= 175/28 + 132/28 + 273/28

Now, we can add the fractions:

= (175 + 132 + 273)/28

= 580/28

Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

= 145/7

Therefore, the simplified expression 25/4 + 33/7 + 39/4 is equal to 145/7.