Fraction | MCQs

Explanation

To determine the fraction of boys in the history class when there are 12 boys and 18 girls,

we can follow these steps:

1. Calculate the total number of students in the class:

Total number of students = 12 boys + 18 girls = 30 students

2. Find the fraction of boys in the class:

Fraction of boys = Number of boys / Total number of students

= 12 boys / 30 students

= 2/5

Explanation

Explanation

Explanation

1. Convert all fractions to a common denominator (8):

   • $\frac{3}{4}=\frac{6}{8}$

   • $\frac{5}{8}=\frac{5}{8}$

   • $\frac{1}{2}=\frac{4}{8}$

2. Perform the calculation:

   • $\frac{6}{8}+\frac{5}{8}-\frac{4}{8}=\frac{7}{8}$

3. Convert $\frac{7}{8}$ to decimal:

   • $\frac{7}{8}=0.875\approx 0.87$

Explanation

7/4 ÷ [77/8 ÷ 30/5 ]

7/4 ÷ [77/8 × 5/30]

= 7/4 ÷ 77/48

= 7/4 × 48/77

= 12/11

Explanation

To find the fraction that is less than 7/8 and greater than 1/3, we need to compare the given options:

• Convert all fractions to equivalent decimals:

    - 7/8 = 0.875

    - 1/3 = 0.333

    - 17/24 = 0.708

    - 1/4 = 0.25

    - 23/24 = 0.958

    - 11/12 = 0.917

• Identify the fraction that falls between 0.333 and 0.875:

    - 17/24 = 0.708 (this is the only fraction that meets the condition)

So, the correct answer is: 17/24

Explanation

Convert to a common denominator: 3/8 + 4/2 = 3/8 + 16/8.

Add the fractions: (3 + 16) / 8 = 19/8.

Explanation

To convert 2/5 to a percentage:

First, convert the fraction to a decimal:

2/5 = 2 ÷ 5 = 0.4

Now, convert the decimal to a percentage:

0.4 × 100% = 40%

Explanation

Six tenths is the same as 6/10, which simplifies to 3/5 or 0.6.

Explanation

Let's evaluate the equation:

(1/4 + 5/8) = 2/8 + 5/8 = 7/8

(1/2 + 3/4) = 4/8 + 6/8 = 10/8 = 5/4

Add the two expressions:

(7/8) + (5/4) = 7/8 + 10/8 = 17/8

So, the equation evaluates to 17/8.

Therefore, the correct answer is 17/8.