Math

QuestionFind the decimal equivalents of these fractions: -31 86/100, -31 45/50, -23/20, 7/20, -60/22, 1/18.

Studdy Solution

STEP 1

Assumptions1. We need to convert each of the given rational numbers to decimal form. . To convert a rational number to a decimal, we divide the numerator by the denominator.

STEP 2

Let's start with the first rational number, 3186100-31 \frac{86}{100}. This is a mixed number, so we first convert it to an improper fraction.
3186100=3186100-31 \frac{86}{100} = -31 - \frac{86}{100}

STEP 3

Now, we convert the fraction part to a decimal by dividing the numerator by the denominator.
86100=0.86- \frac{86}{100} = -0.86

STEP 4

So, the decimal equivalent of 3186100-31 \frac{86}{100} is 31.86-31.86.

STEP 5

Next, we convert the second mixed number, 314550-31 \frac{45}{50}, to a decimal. First, we convert it to an improper fraction.
314550=314550-31 \frac{45}{50} = -31 - \frac{45}{50}

STEP 6

Now, we convert the fraction part to a decimal by dividing the numerator by the denominator.
4550=0.9- \frac{45}{50} = -0.9

STEP 7

So, the decimal equivalent of 314550-31 \frac{45}{50} is 31.9-31.9.

STEP 8

Now, let's convert the rational number 2320-\frac{23}{20} to a decimal by dividing the numerator by the denominator.
2320=1.15-\frac{23}{20} = -1.15

STEP 9

Next, we convert the rational number 720\frac{7}{20} to a decimal by dividing the numerator by the denominator.
720=.35\frac{7}{20} =.35

STEP 10

Now, let's convert the rational number 6022-\frac{60}{22} to a decimal by dividing the numerator by the denominator.6022=2.7272...-\frac{60}{22} = -2.7272...

STEP 11

Finally, we convert the rational number 18\frac{}{18} to a decimal by dividing the numerator by the denominator.
18=0.0555...\frac{}{18} =0.0555...So, the decimal equivalents of the given rational numbers are 31.86-31.86, 31.9-31.9, .15-.15, 0.350.35, .727...-.727..., and 0.0555...0.0555....

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