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Q:

If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :

A) 55.6003 B) 53.603
C) 153.6003 D) 213.003

Answer:   C) 153.6003



Explanation:

4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get :
4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006
A = 10,
B = 1,
C = 0.1,
D = 100,
E = 0.0001.
5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)
=50 + 3 + 0.6 + 100 + 0.003 = 153.6003.

Q:

2/3 as a decimal

A) 0.47 B) 6.77
C) 0.67 D) 0.07
 
Answer & Explanation Answer: C) 0.67

Explanation:

To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator.

2/3

How it comes :

÷ 0 bring down the decimal point.

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

etc...

This gives the recurring decimal 0.6666...

If we round off to two decimals , then it becomes 0.67.

 

Hence, decimal fraction of 2/3 = 0.67.

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0 66
Q:

3/8 as a decimal

A) 1.375 B) 2.375
C) 0.375 D) 3.75
 
Answer & Explanation Answer: C) 0.375

Explanation:

Expressing 3/8 as a decimal fraction:

We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts.

Then, it is 3/8 = 0.375 as a decimal fraction.

 

Other Method::

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

 

=> (3 x 125)/(8 x 125) = 375/1000 = 0.375.

 

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2 48
Q:

3/4 divided by 2 is

A) 3/2 B) 2/3
C) 8/3 D) 3/8
 
Answer & Explanation Answer: D) 3/8

Explanation:

3/4 divided by 2

= 3/4/2

= 3/4x2

= 3/8.

 

Hence, 3/4 divided by 2 is equal to 3/8.

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1 60
Q:

1/8 as a decimal?

A) 0.125 B) 0.225
C) 0.325 D) 0.425
 
Answer & Explanation Answer: A) 0.125

Explanation:

1/8 to convert into decimal,

Find an equivalent fraction with a denominator of a power of 10.

In this case, we will use 1000.

18 x 125125 = 1251000

This can now be written as a decimal with 3 decimal places (because we have thousandths.

i.e, 0.125

 

Hence, 18 as a decimal = 0.125

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2 241
Q:

What is 15 as a decimal?

A) 0.333 B) 0.666
C) 0.200 D) 0.452
 
Answer & Explanation Answer: C) 0.200

Explanation:

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place.

Divide numerator and denominator with '2'15 x 22 = 210 = 0.2

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3 355
Q:

125 over 1000 in Simplest Form?

A) 2/9 B) 1/8
C) 3/8 D) 4/7
 
Answer & Explanation Answer: B) 1/8

Explanation:

125 over 1000 in Simplest Form means 1251000 in its simple fraction form.

 

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

 

HCF of 125, 1000 = 125

 

Then, divide both numerator and denominator by 125

i.e, 1251251000125 = 18

 

Hence, 18 is the simplest form of 125 over 1000.

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3 252
Q:

18 as a decimal?

A) 0.375 B) 0.247
C) 0.214 D) 0.125
 
Answer & Explanation Answer: D) 0.125

Explanation:

Here  18 in decimal means 8th part in 1.

We know that 110 = 0.1

Then,   18 = ?

=> ? = 18 x 0.1110= 0.1 x 108= 0.5418= 0.125

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3 335
Q:

Express 0.875 and 0.375 as a Fraction.

A) 3/11 & 7/11 B) 7/9 & 9/13
C) 7/8 & 3/8 D) 7/9 & 9/11
 
Answer & Explanation Answer: C) 7/8 & 3/8

Explanation:

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

0.875 x 10001000 = 8751000 Now, this can be reduced to fraction 78Therefore, 0.875 as fraction = 78

Similarly,

0.375 :: 

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

0.375 x 10001000 = 3751000Now, this can be reduced to fraction 38Therefore, 0.375 as fraction = 38

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4 546