Find the least common multiple. For example, if the denominators were 6 and 7, the least common multiple would be 42.
the fractions have different denominators
To multiply fractions, simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. For mixed numbers, first convert them into improper fractions by multiplying the whole number by the denominator and adding the numerator. After converting, follow the same process of multiplying the numerators and denominators, and simplify the resulting fraction if necessary.
No
Multiplying mixed numbers involves first converting the mixed numbers into improper fractions, while multiplying fractions directly uses the fractions in their given form. After conversion, the process for both is the same: multiply the numerators together and the denominators together. The final step when dealing with mixed numbers includes converting the improper fraction back to a mixed number if needed. This added step distinguishes the two processes.
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).
the fractions have different denominators
To multiply fractions, simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. For mixed numbers, first convert them into improper fractions by multiplying the whole number by the denominator and adding the numerator. After converting, follow the same process of multiplying the numerators and denominators, and simplify the resulting fraction if necessary.
No
Multiplying mixed numbers involves first converting the mixed numbers into improper fractions, while multiplying fractions directly uses the fractions in their given form. After conversion, the process for both is the same: multiply the numerators together and the denominators together. The final step when dealing with mixed numbers includes converting the improper fraction back to a mixed number if needed. This added step distinguishes the two processes.
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).
First, unmix the numbers ((denominator times whole number plus numerator) over denominator). Then multiply the numerators together and the denominators together. The numerator of the product is the product of the numerators of all of the multiplicands, and the denominator of the product is the product of the denominators of all of the multiplicands. Third, simplify.
Written as improper fractions, divide the numerators (converting any resulting improper fraction to a mixed number if required).However, I would rather not remember this short cut as it could result in being used inappropriately (when the denominators are different), but instead stick to using the standard method, writing out the calculation in full and cancelling down before doing the actual multiplications.The same way as mixed numbers without like denominators:Convert the mixed numbers into improper (top heavy) fractions.Invert (turn upside down) the divisor.Multiply the fractions together (by multiplying the numerators together and the denominators together).However, with the same denominators, in inverting the divisor it will mean that its numerator is the same as the denominator of the [original] dividend and so will cancel, leaving the result as the numerator of the first improper fraction over the numerator of the second - dividing the improper fractions' numerators.
Before you can do that, you need to write each mixed number as an improper fraction, and then write both fractions with a common denominator. The only other choice is to write both mixed numbers as decimals, and then add them.
the denominators
False [ I THINK ]
Convert them to improper fractions and proceed.
You re-scale them so that the denominators are the same.