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1. spent $\\frac{1}{6}$ of an hour making minutes 2. circle the fractio…

Question

  1. spent $\frac{1}{6}$ of an hour making minutes
  2. circle the fraction if it is equivalent to $\frac{2}{3}$. $\frac{2}{3}$ $\frac{3}{4}$ $\frac{4}{8}$ $\frac{4}{9}$ $\frac{6}{9}$ $\frac{8}{12}$ $\frac{4}{6}$ $\frac{8}{10}$ $\frac{2}{6}$ write another fraction equivalent to $\frac{2}{3}\to$
  3. $\
$$\begin{array}{r}5,392 \\\\ \\times 58 \\\\ \\hline\\end{array}$$

$ $\

$$\begin{array}{r}435 \\\\ \\times 67 \\\\ \\hline\\end{array}$$

$

  1. ◆ round it ◆ round each decimal to the nearest whole number and tenth.
  2. just the facts how fast can you solve? $\frac{64}{\div \square}$ $\frac{32}{\div \square}$ $\frac{42}{\div \square}$ $\frac{54}{\div \square}$ $\frac{48}{\div \square}$ $\frac{72}{\div \square}$ $\frac{25}{\div \square}$ $\frac{36}{\div \square}$ $\frac{27}{\div \square}$ $\frac{56}{\div \square}$

Explanation:

Step1: Simplify the fractions

  • For \(\frac{4}{8}\), simplify by dividing numerator and denominator by \(4\), we get \(\frac{1}{2}\).
  • For \(\frac{6}{9}\), divide numerator and denominator by \(3\), we get \(\frac{2}{3}\).
  • For \(\frac{8}{12}\), divide numerator and denominator by \(4\), we get \(\frac{2}{3}\).
  • For \(\frac{4}{6}\), divide numerator and denominator by \(2\), we get \(\frac{2}{3}\).
  • \(\frac{3}{4}\) and \(\frac{4}{9}\) and \(\frac{8}{10}\) and \(\frac{2}{6}\) do not simplify to \(\frac{2}{3}\).

Step2: Find another equivalent fraction

Multiply numerator and denominator of \(\frac{2}{3}\) by \(4\), we get \(\frac{8}{12}\) (already in the list, another example: multiply by \(5\) gives \(\frac{10}{15}\)).

For rounding:

  • For \(64.53\):
  • To the nearest whole number: Look at the tenths place (\(5\)), so \(64.53\approx65\).
  • To the nearest tenth: Look at the hundredths place (\(3\)), so \(64.53\approx64.5\).
  • For \(934.29\):
  • To the nearest whole number: Look at the tenths place (\(2\)), so \(934.29\approx934\).
  • To the nearest tenth: Look at the hundredths place (\(9\)), so \(934.29\approx934.3\).
  • For \(5.634\):
  • To the nearest whole number: Look at the tenths place (\(6\)), so \(5.634\approx6\).
  • To the nearest tenth: Look at the hundredths place (\(3\)), so \(5.634\approx5.6\).

For \(5\) (Just the Facts):

  • \(64\div8 = 8\).
  • \(32\div4 = 8\).
  • \(42\div7 = 6\).
  • \(54\div6 = 9\).
  • \(48\div8 = 6\).
  • \(72\div9 = 8\).
  • \(25\div5 = 5\).
  • \(36\div4 = 9\).
  • \(27\div9 = 3\).
  • \(56\div7 = 8\).

Answer:

  • For equivalent fractions: Circle \(\frac{6}{9}\), \(\frac{8}{12}\), \(\frac{4}{6}\). Another equivalent fraction: \(\frac{10}{15}\) (for example).
  • Rounding:
  • \(64.53\): Nearest whole number \(65\), nearest tenth \(64.5\).
  • \(934.29\): Nearest whole number \(934\), nearest tenth \(934.3\).
  • \(5.634\): Nearest whole number \(6\), nearest tenth \(5.6\).
  • Just the Facts: \(8\), \(8\), \(6\), \(9\), \(6\), \(8\), \(5\), \(9\), \(3\), \(8\).