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2 years ago

2.314 (14 repeating) as a fraction

Mathematics

2 answers:

katen-ka-za [31]2 years ago

5 0

Step-by-step explanation:

2.3141414...

= 2 + 3/10 + 14/990

= 2 + 311/990

= 2291 / 990

zvonat [6]2 years ago

4 0

Answer:

Therefore, x = $\frac{2291}{990}$ .

Step-by-step explanation:

Given : 2.314 (14 repeating) .

To find : Express as a fraction .

Solution : We have given 2.314 (14 repeating) .

Let x = 2.31414141.......

On multiplying both sides by 100

100x = 100 * 2.31414141....

100x = 231.414141......

We can express 231.414141...... in term of x .

100x = 229 .1 + 2.31414141.......

100x = 229.1 +x

On subtracting both sides by x .

100 x -x = 229 .1

99x = 229.1

On dividing both sides by 99

x= $\frac{229.1}{99}$ .

x = $\frac{2291}{990}$ .

Therefore, x = $\frac{2291}{990}$ .

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2 years ago

72.3 + (-39.1)

joja [24]

Answer:

72.3 - 39.1 = 4tens - 7ones + 2tenth

Step-by-step explanation:

Give the expression 72.3 + (-39.1)

opening the parenthesis:

= 72.3 + (-39.1)

= 72.3 - 39.1

Breaking the decimal values into place values

72.3 = 7tens + 2units + 3tenth

72.3 = 7(10)+2(1)+3(1/10)

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Similarly for 39.1

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39.1 = 3(10)+9(1)+1(1/10)

39.1 =30+9+0.1

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72.3 - 39.1 = 70+2+0.3 - 30-9-0.1

72.3 - 39.1 = 70-30+2-9+0.3-0.1

72.3 - 39.1 = 40 - 7 +0.2

72.3 - 39.1 = 4tens - 7ones + 2tenth

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2 years ago

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Answer:

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