...always undo our mistakes. 10. What is the mood of the verb in each of the following? Let me see the map. Multiply the numerators together for a new numerator, and the denominators for a new denominator. He would fish all day without a murmur. He assisted at their sports, made their playthings, taught...

...X4~3~x~l We get the same result by multiplying the numerators and the denominators together. 4. Learn : Multiply the numerators together for a new numerator...the denominators for a new denominator, and reduce the resulting fraction to its lowest terms. 5. Multiply 8j by 5J. Multiply as in whole numbers, without...

...which should be first stated by the pupil and then memorized. To multiply a fraction by a fraction, multiply the numerators together for a new numerator and the denominators for a new denominator. 8r DIVIDING A WHOLE NUMBER BY A FRACTION. This should be introduced in connection with work in denominate...

...results with the factors, the rule may be deduced. Rule. — To multiply a fraction by a fraction, multiply the numerators together for a new numerator and the denominators for a new denominator. Shorten the work by cancellation. Unless the integral parts of mixed numbers are large, it is generally...

...X - = - « mnp mnp and so on for any number of fractions. To find the product of several fractions, multiply the numerators together for a new numerator, and the denominators for a new denominator. NOTE. Before performing the multiplication every integral expression should be written as a fraction...

...xy bm by The general process may be stated as follows : 108. To multiply a fraction by a fraction : Multiply the numerators together for a new numerator, and the denominators for a new denominator. By cancellation reduce the resulting fraction to its lowest terms. 109. To divide a fraction by a fraction...

...K of # = 4/9 tf of K = 1/12. In this way the child will discover that the numerators are multiplied together for a new numerator and the denominators for a new denominator. All reductions of 'answers to simpler forms, as X of - , = 2/12 = 1 /6 and all short cuts as X of %...

...23_2x8_E6 3 5 3x5 15' 3 5 3x5 15' 5 5 5x5 25Observe that in each case the result is obtained by multiplying the numerators together for a new numerator and the denominators for a new denominator. $ of £ means that we are to divide £ into 3 equal parts and take two of these parts. The operation...

...for integral and rational ones. 3. Proof that in multiplying fractions the numerators are multiplied together for a new numerator and the denominators for a new denominator. Let - and - be the given factors and p their product. 6 p Then, ?x-=p. (Hypothesis.) bd Now, - xbx~...

...of a fraction is called a compound fraction. To change a compound fraction to a simple fraction, we multiply the numerators together for a new numerator, and the denominators for a new denominator, canceling if possible. Change to simple fractions: 1. foff of* 5. £offrof2| 9. &xf x18f 2. f of f...