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How do I multiply or divide fractions without a calculator?

For multiplication: Firstly, write out the sum you are trying to do, for example 3/4 X 1/8 Then, times the top numbers by each other and the bottom numbers by each other 3 x 1 = 3, 4 x 8 = 24 Then, rewrite t...
WM
Answered by William M. • Maths tutor
19411 Views

Work out the value of x and y in the parallelogram ABCD.

5x - 20 = 2x +43 -> 5x-2x= 43+20 -> 3x=63 -> x=21 therefore x=21 (2x+43) + (4y-5x)=180 -> 2x+43+4y-5x=180 (because adjacent angles in a parallelogram equals 180) 4y-3x=180-43 -> 4y= (100-43)+3...
KS
Answered by Kwarteng S. • Maths tutor
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n sweets, 6 are orange, the rest are yellow. Sophie takes at random a sweet. She eats the sweet. Sophie then takes at random another sweet. She eats the sweet. The probability that Sophie eats two orange sweets is 1/3. Show that n² – n – 90 = 0

If Sophie takes a sweet from the bag on her first selection, there is a 6/n chance it will be orange. That’s because there are 6 oranges and n sweets. If Sophie takes a sweet from the bag on her second selec...
OL
Answered by Oliver L. • Maths tutor
3490 Views

Differentiate the following: 5x^3 + 4x^2 + 3x + 2

dy/dx = 15x^2 + 8x + 3 Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up marks if unde...
CG
Answered by Callum G. • Maths tutor
3883 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

Understanding of the ratio: 2+3=5, 3/5 is white, 2/5 blue, 2.8 18 (3/5) + 3.5 18 (2/5) No calculator paper, so check ability to do accurately arithmetic as above and make sure to think about the answer as co...
RT
Answered by Rhys T. • Maths tutor
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