7
Q:

# $\left(0.2×0.2+0.01\right){\left(0.1×0.1+0.02\right)}^{-1}$ is equal to

 A) 5/3 B) 9/5 C) 41/4 D) 41/12

Explanation:

Given expression = $\frac{\left(0.2×0.2×0.01\right)}{\left(0.1×0.1×0.02\right)}=\frac{0.04+0.01}{0.01+0.02}=\frac{0.05}{0.03}=\frac{5}{3}$

Q:

1/8 as a decimal?

 A) 0.125 B) 0.225 C) 0.325 D) 0.425

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.

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

i.e, 0.125

Hence,

2 195
Q:

What is $\frac{1}{5}$ as a decimal?

 A) 0.333 B) 0.666 C) 0.200 D) 0.452

Explanation:

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

2 260
Q:

125 over 1000 in Simplest Form?

 A) 2/9 B) 1/8 C) 3/8 D) 4/7

Explanation:

125 over 1000 in Simplest Form means $\frac{\mathbf{125}}{\mathbf{1000}}$ 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,

Hence, $\frac{\mathbf{1}}{\mathbf{8}}$ is the simplest form of 125 over 1000.

3 198
Q:

$\frac{\mathbf{1}}{\mathbf{8}}$ as a decimal?

 A) 0.375 B) 0.247 C) 0.214 D) 0.125

Explanation:

Here  $\frac{\mathbf{1}}{\mathbf{8}}$ in decimal means 8th part in 1.

We know that $\frac{\mathbf{1}}{\mathbf{10}}$ = 0.1

Then,

=>

3 250
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

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

Similarly,

0.375 ::

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

4 456
Q:

Express 3/8 and 1/10 as a Decimals?

 A) 1.375 & 1 B) 0.375 & 1 C) 13.75 & 1.1 D) 0.375 & 0.1

Explanation:

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

=>

1/10 as a Decimal :

1 divided into 10 parts of each 0.1.

Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

2 286
Q:

5/8 as a Decimal Equals To

 A) 0.625 B) 0.541 C) 0.258 D) 0.147

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

Therefore, the decimal value of $\frac{\mathbf{5}}{\mathbf{8}}$ is 0.625.

Now find a decimal value of $\left(\frac{\mathbf{11}}{\mathbf{17}}\right)$ and Discuss your at Discuss.

6 242
Q:

If two fractions, each of which has a value between 0 and 1, are multiplied together, the product will be :

 A) always greater than either of the original fractions B) always less than either of the original fractions C) sometimes greater and sometimes less than either of the original fractions D) remains the same

Answer & Explanation Answer: B) always less than either of the original fractions

Explanation:

We can easily Answer this by taking some values.

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .
is lesser than both 1/2  and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions