Photo AI

3. Complete each statement - OCR - GCSE Maths - Question 3 - 2019 - Paper 2

Question 3

3. Complete each statement. (i) 3/7 = .......... 28 (ii) 4 1/2 = .......... 2 (b) Work out. 2 1 --- + --- 3 5

Worked Solution & Example Answer:3. Complete each statement - OCR - GCSE Maths - Question 3 - 2019 - Paper 2

Step 1

(i) 3/7 = .......... 28

96%

114 rated

Answer

To complete the statement, we first find the equivalent fraction. We know

$\frac{3}{7} = \frac{x}{28}$

To solve for x, we can cross-multiply:

$3 \cdot 28 = 7 \cdot x$

This gives:

$84 = 7x$

Dividing both sides by 7 results in:

$x = 12$

Thus, the completed equation is:

$3/7 = 12/28$

Step 2

(ii) 4 1/2 = .......... 2

99%

104 rated

Answer

To convert 4 1/2 to an improper fraction:

$4 1/2 = \frac{9}{2}$

We then set up the equation:

$\frac{9}{2} = \frac{y}{2}$

Cross-multiplying gives:

$9 \cdot 2 = 2 \cdot y$

Simplifying yields:

$18 = 2y$

Solving for y gives:

$y = 9$

Therefore, the completed equation is:

$4 1/2 = 9/2$

Step 3

(b) Work out.

96%

101 rated

Answer

To find the sum of the fractions:

$\frac{2}{3} + \frac{1}{5}$

We first find a common denominator. The least common multiple of 3 and 5 is 15.

Converting the fractions:

$\frac{2}{3} = \frac{2 \cdot 5}{3 \cdot 5} = \frac{10}{15}$

$\frac{1}{5} = \frac{1 \cdot 3}{5 \cdot 3} = \frac{3}{15}$

Now, adding the two fractions results in:

$\frac{10}{15} + \frac{3}{15} = \frac{13}{15}$

Thus, the final answer is:

$\frac{13}{15}$

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;