TONY HAD 5 1/2 KILOGRAMS OF SUGAR . HOW MANY CAKE CAN HE BAKE IF HE WILL USE 1 2/4 KILOGRAM OF SUGAR PER CAKE
Answer (1)
Answer:3 2/3Step-by-step explanation:Convert into mixed number by multiplying denominator to whole number and add to numerator.Then Copy the Denominator.[tex]5 \frac{1}{2} = \frac{11}{2} \\[/tex]Then the next fraction. [tex]1 \frac{2}{4} = \frac{6}{4} \: or \: \frac{3}{2 \\ } [/tex]We still need to simplify it and even though its Improper. Just find the GCF which is 2 so it will become 3/2. Our Operation is Division. [tex] \frac{11}{2} \div \frac{3}{2} \\ [/tex]We need to do is Keep the first fraction, Change the division sign to multiplication then use reciprocal (flip) to the second fraction.[tex] \frac{11}{2} \times \frac{2}{3} \\ [/tex]Now multiply or use cancellation method. Its up to you. Cancellation method is only used for multiplication and when you use cancellation, you dont need to Find GCF anymore (but only if possible). Lets use Both MethodNormal:[tex] \frac{11}{2} \times \frac{2}{3} = \frac{22}{6} or \: 3 \frac{4}{6} or \: 3 \frac{2}{3} \\ [/tex]Multiply Numerator and Denominator. 22/6 is Improper so we convert to mixed nunber by dividing. 3 is a quotient so 3 will be our whole number.4 is a remainder so 4 will be our numberator. 6 is divisor so 6 will be our denominator. 3 4/6 needed to be simplify and the GCF is 2.Therefore the final answer is 3 2/3Cancellation Method:We have11/2 and 2/3. We need to cancel in diagonal way/cross wayTo cancel find the numerator and denomiator crossed that can be divided or divisible on something. We see 2 in 11/2.And 2 in 2/3. Since they are crossed. We need to find its divisible. They're Divisible is 2.Cancel both 2 rename it 1 because 2 ÷ 2 is 1So now we have[tex] \frac{11}{1} \times \frac{1}{3} = \frac{11}{3} \\ [/tex]Since this is improper we need to convert to mixed number by dividing. 3 is quotient so 3 is our whole number. 2 is remainder so 2 is our numerator. 3 is our divisor so 3 is our denominator. The answer is :3 2/3Therefore, Tom Can bake 3 2/3 cakeI hope this helps
