it takes 1 3/4 metres of cloth to make a uniform.

a)how many similar uniforms can be use from 10 metres of cloth?
b)how much cloth will be left?

10 / (7/4) = 40/7 = 5 5/7

5 uniforms with 5/7 yard left over

a)

10 / 1.75 = 5.7 uniforms -- but only 5 complete uniforms

b) 10 - (5 * 1.75) = _______ m left over

5 125

To solve this problem, we need to find out how many uniforms can be made from 10 meters of cloth, and then calculate the amount of cloth left.

a) To find out how many uniforms can be made, we need to divide the total length of cloth by the length required for one uniform.

Length of cloth required for one uniform = 1 3/4 meters

To convert the mixed fraction into an improper fraction, we multiply the whole number (1) by the denominator (4) and add the numerator (3). This gives us 7.

Length required for one uniform = 7/4 meters

Now, we can find the number of uniforms that can be made by dividing the total length of cloth by the length required for one uniform:

Number of uniforms = Total length of cloth / Length required for one uniform
Number of uniforms = 10 meters / (7/4 meters)

To divide by a fraction, we can multiply by its reciprocal:

Number of uniforms = 10 meters * (4/7 meters)
Number of uniforms = 40/7 uniforms
Number of uniforms = 5 5/7 uniforms

Therefore, 10 meters of cloth can be used to make 5 uniforms with 5/7th of another uniform leftover.

b) To determine the amount of cloth left, we need to subtract the cloth used for the complete uniforms from the total length of cloth:

Amount of cloth left = Total length of cloth - (Number of uniforms * Length required for one uniform)
Amount of cloth left = 10 meters - (5 * 7/4 meters)
Amount of cloth left = 10 meters - (35/4 meters)

To subtract fractions, we need a common denominator, which in this case is 4:

Amount of cloth left = (10 * 4/4) meters - (35/4) meters
Amount of cloth left = (40/4 - 35/4) meters
Amount of cloth left = 5/4 meters

Therefore, there will be 5/4 meters (or 1 1/4 meters) of cloth left.