By dividing the numerator and denominator by their HCF
Simplifying the fraction.
First convert the mixed numbers into "top heavy (or "improper) fractions". Now multiply each of the improper fractions by each other - this makes the denominators the same. Now you can add both the fractions together (and cancel down if necessary).
To add fractions with the same denominators, simply add together the numerators, and cancel down if necessary. For example, 5/8 + 1/8 = 6/8. Cancelling this down to an improper fraction in its simplest form, this is equal to 3/4.
1/2 & 3/8 This is multiplication of fractions. 1/2 X 3/8 This does NOT cancel down Hence 3/16 The answer!!!!!
By dividing the numerator and denominator by their HCF
No, it is quite possible for the fractions not to have common factors, even if you cross-cancel.
Factor the numerator and denominator, and then cancel any common factors.
Simplifying the fraction.
In order to multiply fractions with variables, factor all numerators and denominators completely. Use the rules for multiplying and dividing fractions, cancel any common factors, and leave your final answer in factored form.
No, demnominators do not cancel when multiplying fractions. This is a very common mistake students make when they do fractions. In your question, the denominator is 1 for both 38 x 58 because you can see this as: 38/1 and 58/1. The 1s will not cancel. However, this will be different if your question was "what is 38 x 1/58?". This is the same thing as saying 38/58. You can simplify this one by finding a common factor.
72/96 Cancel down by '2' 36/48 Cancel down by '3' 12/16 Cancel down by '4' 3/4 Is the fraction in its lowest terms. NB It does not have a DENOMINATOR OF '18'
First convert the mixed numbers into "top heavy (or "improper) fractions". Now multiply each of the improper fractions by each other - this makes the denominators the same. Now you can add both the fractions together (and cancel down if necessary).
Divide the percentage by 100. Then reduce to its simplest form (cancel out any common factors between the numerator and the denominator).
It is quickest to cancel first. In 4/7 x 5/8 we can cancel the 4 and 8 making 1/7 x 5/2 = 5/7 If nothing will cancel, simply multiply top two numbers for numerator and bottom two for denominator.
46.3% = 46.3/100 But you can't have decimals in fractions so you multiply them both by 10 and you get: 463/1000 which does not cancel down.
To add fractions with the same denominators, simply add together the numerators, and cancel down if necessary. For example, 5/8 + 1/8 = 6/8. Cancelling this down to an improper fraction in its simplest form, this is equal to 3/4.