Sasi Math (Revised for 1024)

Scroll:Real number system >> Simplify the following fraction : >> saq (4474)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

How many uniforms can be stitched from30 $\frac{1}{4}$ metres of cloth if each scout requires 7 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from42 $\frac{1}{4}$ metres of cloth if each scout requires 6 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from32 $\frac{1}{4}$ metres of cloth if each scout requires 3 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from46 $\frac{1}{4}$ metres of cloth if each scout requires 6 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from30 $\frac{1}{4}$ metres of cloth if each scout requires 4 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from39 $\frac{1}{4}$ metres of cloth if each scout requires 2 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from36 $\frac{1}{4}$ metres of cloth if each scout requires 5 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from42 $\frac{1}{4}$ metres of cloth if each scout requires 4 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from40 $\frac{1}{4}$ metres of cloth if each scout requires 6 $\frac{1}{4}$ metres for one uniform

Answer:_______________

10)

How many uniforms can be stitched from41 $\frac{1}{4}$ metres of cloth if each scout requires 8 $\frac{1}{4}$ metres for one uniform

Answer:_______________

How many uniforms can be stitched from30 $\frac{1}{4}$ metres of cloth if each scout requires 7 $\frac{1}{4}$ metres for one uniform

Answer: 4

SOLUTION 1 :

Given :

Required cloth for one uniform = 7 $\frac{1}{4}$ metres

30 $\frac{1}{4}$ metres cloth for x uniforms = 30 $\frac{1}{4}$ ÷ 7 $\frac{1}{4}$

= 12 $\frac{1}{4}$ ÷ $\frac{29}{4}$

= 12 $\frac{1}{4}$ x $\frac{4}{29}$

= $\frac{484}{116}$

= 4

4 uniforms can be stitched from 30 $\frac{1}{4}$

How many uniforms can be stitched from42 $\frac{1}{4}$ metres of cloth if each scout requires 6 $\frac{1}{4}$ metres for one uniform

Answer: 7

SOLUTION 1 :

Given :

Required cloth for one uniform = 6 $\frac{1}{4}$ metres

42 $\frac{1}{4}$ metres cloth for x uniforms = 42 $\frac{1}{4}$ ÷ 6 $\frac{1}{4}$

= $\frac{169}{4}$ ÷ $\frac{25}{4}$

= $\frac{169}{4}$ x $\frac{4}{25}$

= $\frac{676}{100}$

= 7

7 uniforms can be stitched from 42 $\frac{1}{4}$

How many uniforms can be stitched from32 $\frac{1}{4}$ metres of cloth if each scout requires 3 $\frac{1}{4}$ metres for one uniform

Answer: 10

SOLUTION 1 :

Given :

Required cloth for one uniform = 3 $\frac{1}{4}$ metres

32 $\frac{1}{4}$ metres cloth for x uniforms = 32 $\frac{1}{4}$ ÷ 3 $\frac{1}{4}$

= $\frac{129}{4}$ ÷ $\frac{13}{4}$

= $\frac{129}{4}$ x $\frac{4}{13}$

= $\frac{516}{52}$

= 10

10 uniforms can be stitched from 32 $\frac{1}{4}$

How many uniforms can be stitched from46 $\frac{1}{4}$ metres of cloth if each scout requires 6 $\frac{1}{4}$ metres for one uniform

Answer: 7

SOLUTION 1 :

Given :

Required cloth for one uniform = 6 $\frac{1}{4}$ metres

46 $\frac{1}{4}$ metres cloth for x uniforms = 46 $\frac{1}{4}$ ÷ 6 $\frac{1}{4}$

= $\frac{185}{4}$ ÷ $\frac{25}{4}$

= $\frac{185}{4}$ x $\frac{4}{25}$

= $\frac{740}{100}$

= 7

7 uniforms can be stitched from 46 $\frac{1}{4}$

How many uniforms can be stitched from30 $\frac{1}{4}$ metres of cloth if each scout requires 4 $\frac{1}{4}$ metres for one uniform

Answer: 7

SOLUTION 1 :

Given :

Required cloth for one uniform = 4 $\frac{1}{4}$ metres

30 $\frac{1}{4}$ metres cloth for x uniforms = 30 $\frac{1}{4}$ ÷ 4 $\frac{1}{4}$

= 12 $\frac{1}{4}$ ÷ $\frac{17}{4}$

= 12 $\frac{1}{4}$ x $\frac{4}{17}$

= $\frac{484}{68}$

= 7

7 uniforms can be stitched from 30 $\frac{1}{4}$

How many uniforms can be stitched from39 $\frac{1}{4}$ metres of cloth if each scout requires 2 $\frac{1}{4}$ metres for one uniform

Answer: 17

SOLUTION 1 :

Given :

Required cloth for one uniform = 2 $\frac{1}{4}$ metres

39 $\frac{1}{4}$ metres cloth for x uniforms = 39 $\frac{1}{4}$ ÷ 2 $\frac{1}{4}$

= $\frac{157}{4}$ ÷ $\frac{9}{4}$

= $\frac{157}{4}$ x $\frac{4}{9}$

= $\frac{628}{36}$

= 17

17 uniforms can be stitched from 39 $\frac{1}{4}$

How many uniforms can be stitched from36 $\frac{1}{4}$ metres of cloth if each scout requires 5 $\frac{1}{4}$ metres for one uniform

Answer: 7

SOLUTION 1 :

Given :

Required cloth for one uniform = 5 $\frac{1}{4}$ metres

36 $\frac{1}{4}$ metres cloth for x uniforms = 36 $\frac{1}{4}$ ÷ 5 $\frac{1}{4}$

= $\frac{145}{4}$ ÷ 2 $\frac{1}{4}$

= $\frac{145}{4}$ x $\frac{4}{21}$

= $\frac{580}{84}$

= 7

7 uniforms can be stitched from 36 $\frac{1}{4}$

How many uniforms can be stitched from42 $\frac{1}{4}$ metres of cloth if each scout requires 4 $\frac{1}{4}$ metres for one uniform

Answer: 10

SOLUTION 1 :

Given :

Required cloth for one uniform = 4 $\frac{1}{4}$ metres

42 $\frac{1}{4}$ metres cloth for x uniforms = 42 $\frac{1}{4}$ ÷ 4 $\frac{1}{4}$

= $\frac{169}{4}$ ÷ $\frac{17}{4}$

= $\frac{169}{4}$ x $\frac{4}{17}$

= $\frac{676}{68}$

= 10

10 uniforms can be stitched from 42 $\frac{1}{4}$

How many uniforms can be stitched from40 $\frac{1}{4}$ metres of cloth if each scout requires 6 $\frac{1}{4}$ metres for one uniform

Answer: 6

SOLUTION 1 :

Given :

Required cloth for one uniform = 6 $\frac{1}{4}$ metres

40 $\frac{1}{4}$ metres cloth for x uniforms = 40 $\frac{1}{4}$ ÷ 6 $\frac{1}{4}$

= 16 $\frac{1}{4}$ ÷ $\frac{25}{4}$

= 16 $\frac{1}{4}$ x $\frac{4}{25}$

= $\frac{644}{100}$

= 6

6 uniforms can be stitched from 40 $\frac{1}{4}$

10)

How many uniforms can be stitched from41 $\frac{1}{4}$ metres of cloth if each scout requires 8 $\frac{1}{4}$ metres for one uniform

Answer: 5

SOLUTION 1 :

Given :

Required cloth for one uniform = 8 $\frac{1}{4}$ metres

41 $\frac{1}{4}$ metres cloth for x uniforms = 41 $\frac{1}{4}$ ÷ 8 $\frac{1}{4}$

= $\frac{165}{4}$ ÷ $\frac{33}{4}$

= $\frac{165}{4}$ x $\frac{4}{33}$

= $\frac{660}{132}$

= 5

5 uniforms can be stitched from 41 $\frac{1}{4}$