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Solve the following math problems: 48 x 5, 4 3/5 - 2 1/3, pineapples x 7, LCM of 8, 9, 12.

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4 parts
4
240
5

24152\frac{4}{15}

6

84 pineapples84 \text{ pineapples}

7
72

Step-by-step solution

11 steps

Here are the solutions to the math problems:

Part 4· 2 steps

Work out 48×548 \times 5.

  1. Multiply the numbers.

    48×548 \times 5

  2. Calculate the product.

    48×5=24048 \times 5 = 240

    The product is 240\boxed{240}.

Part 5

24152\frac{4}{15}

Subtract 435−2134\frac{3}{5} - 2\frac{1}{3}.

  1. Convert the mixed numbers to improper fractions.

    435=(4×5)+35=2354\frac{3}{5} = \frac{(4 \times 5) + 3}{5} = \frac{23}{5} 213=(2×3)+13=732\frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{7}{3}

  2. Find a common denominator for the fractions.

    The least common multiple of 5 and 3 is 15.

    235=23×35×3=6915\frac{23}{5} = \frac{23 \times 3}{5 \times 3} = \frac{69}{15} 73=7×53×5=3515\frac{7}{3} = \frac{7 \times 5}{3 \times 5} = \frac{35}{15}

  3. Subtract the fractions.

    6915−3515=69−3515=3415\frac{69}{15} - \frac{35}{15} = \frac{69 - 35}{15} = \frac{34}{15}

  4. Convert the improper fraction back to a mixed number.

    3415=2415\frac{34}{15} = 2\frac{4}{15}

    The difference is 2415\boxed{2\frac{4}{15}}.

Part 6

84 pineapples84 \text{ pineapples}

If 🍍 represents 12 pineapples, how many pineapples are represented by 🍍🍍🍍🍍🍍🍍🍍?

  1. Count the number of pineapple symbols.

    There are 7 pineapple symbols.

  2. Multiply the number of symbols by the value each symbol represents.

    7×12=847 \times 12 = 84

    There are 84 pineapples\boxed{84 \text{ pineapples}}.

Part 772

Work out the least common multiple (LCM) of 8, 9 and 12.

  1. Find the prime factorization of each number.

    8=2×2×2=238 = 2 \times 2 \times 2 = 2^3 9=3×3=329 = 3 \times 3 = 3^2 12=2×2×3=22×3112 = 2 \times 2 \times 3 = 2^2 \times 3^1

  2. Identify all unique prime factors and their highest powers.

    The highest power of 2 is 232^3.
    The highest power of 3 is 323^2.

  3. Multiply these highest powers together to find the LCM.

    LCM=23×32=8×9=72\text{LCM} = 2^3 \times 3^2 = 8 \times 9 = 72

    The LCM is 72\boxed{72}.

    The question "Find n(A) if A = {month of the year which beings with letters}" is incomplete as the specific letter(s) are missing.
    The question "Use a pair of compasses and a ruler" is also incomplete as it does not specify what to construct.

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