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Successful leader, What was the consequence of Saul's rebellion against God?

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7 parts
5.7

3123\frac{1}{2}

5.8

8188\frac{1}{8}

5.9

710\dfrac{7}{10}

5.10

3793\frac{7}{9}

5.11

225282\frac{25}{28}

5.12

113351\frac{13}{35}

5.13

6236\frac{2}{3}

Step-by-step solution

28 steps

Part 5.7· 4 steps

  1. Convert the mixed number to an improper fraction.

    258=2×8+58=16+58=2182\frac{5}{8} = \frac{2 \times 8 + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}

  2. To divide by a fraction, multiply by its reciprocal.

    218÷34=218×43\frac{21}{8} \div \frac{3}{4} = \frac{21}{8} \times \frac{4}{3}

  3. Multiply numerators and denominators.

    21×48×3=8424\frac{21 \times 4}{8 \times 3} = \frac{84}{24}

  4. Simplify the fraction.

    84÷1224÷12=72=152?Wait,no:84/24divideby12:7/2yes,but7/2=31/2\frac{84 \div 12}{24 \div 12} = \frac{7}{2} = 1\frac{5}{2}? Wait, no: 84/24 divide by 12: 7/2 yes, but 7/2 = 3 1/2

    3\frac{1}{2}

Part 5.8

8188\frac{1}{8}

  1. Convert the mixed number to an improper fraction.

    314=3×4+14=12+14=1343\frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4}

  2. To divide by a fraction, multiply by its reciprocal.

    134÷25=134×52\frac{13}{4} \div \frac{2}{5} = \frac{13}{4} \times \frac{5}{2}

  3. Multiply numerators and denominators.

    13×54×2=658\frac{13 \times 5}{4 \times 2} = \frac{65}{8}

  4. Convert to mixed number.

    8×8=64, 65−64=1, so 8188 \times 8 = 64, \ 65 - 64 = 1, \ so \ 8\frac{1}{8}

    8\frac{1}{8}

Part 5.9

710\dfrac{7}{10}

  1. Convert the mixed number to an improper fraction.

    114=1×4+14=4+14=541\frac{1}{4} = \frac{1 \times 4 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4}

  2. To divide by a fraction, multiply by its reciprocal.

    78÷54=78×45\frac{7}{8} \div \frac{5}{4} = \frac{7}{8} \times \frac{4}{5}

  3. Multiply numerators and denominators.

    7×48×5=2840\frac{7 \times 4}{8 \times 5} = \frac{28}{40}

  4. Simplify the fraction.

    28÷440÷4=710\frac{28 \div 4}{40 \div 4} = \frac{7}{10}

    \dfrac{7}{10}

Part 5.10

3793\frac{7}{9}

  1. Convert mixed numbers to improper fractions.

    523=5×3+23=15+23=1735\frac{2}{3} = \frac{5 \times 3 + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3} 112=1×2+12=2+12=321\frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2}

  2. To divide by a fraction, multiply by its reciprocal.

    173÷32=173×23\frac{17}{3} \div \frac{3}{2} = \frac{17}{3} \times \frac{2}{3}

  3. Multiply numerators and denominators.

    17×23×3=349\frac{17 \times 2}{3 \times 3} = \frac{34}{9}

  4. Convert to mixed number.

    3×9=27, 34−27=7, so 3793 \times 9 = 27, \ 34 - 27 = 7, \ so \ 3\frac{7}{9}

    3\frac{7}{9}

Part 5.11

225282\frac{25}{28}

  1. Convert mixed numbers to improper fractions.

    634=6×4+34=24+34=2746\frac{3}{4} = \frac{6 \times 4 + 3}{4} = \frac{24 + 3}{4} = \frac{27}{4} 213=2×3+13=6+13=732\frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3}

  2. To divide by a fraction, multiply by its reciprocal.

    274÷73=274×37\frac{27}{4} \div \frac{7}{3} = \frac{27}{4} \times \frac{3}{7}

  3. Multiply numerators and denominators.

    27×34×7=8128\frac{27 \times 3}{4 \times 7} = \frac{81}{28}

  4. Convert to mixed number.

    2×28=56, 81−56=25, so 225282 \times 28 = 56, \ 81 - 56 = 25, \ so \ 2\frac{25}{28}

    2\frac{25}{28}

Part 5.12

113351\frac{13}{35}

  1. Convert mixed numbers to improper fractions.

    225=2×5+25=10+25=1252\frac{2}{5} = \frac{2 \times 5 + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5} 134=1×4+34=4+34=741\frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4}

  2. To divide by a fraction, multiply by its reciprocal.

    125÷74=125×47\frac{12}{5} \div \frac{7}{4} = \frac{12}{5} \times \frac{4}{7}

  3. Multiply numerators and denominators.

    12×45×7=4835\frac{12 \times 4}{5 \times 7} = \frac{48}{35}

  4. Convert to mixed number.

    1×35=35, 48−35=13, so 113351 \times 35 = 35, \ 48 - 35 = 13, \ so \ 1\frac{13}{35}

    1\frac{13}{35}

Part 5.13

6236\frac{2}{3}

  1. Convert the mixed number to an improper fraction.

    416=4×6+16=24+16=2564\frac{1}{6} = \frac{4 \times 6 + 1}{6} = \frac{24 + 1}{6} = \frac{25}{6}

  2. To divide by a fraction, multiply by its reciprocal.

    256÷58=256×85\frac{25}{6} \div \frac{5}{8} = \frac{25}{6} \times \frac{8}{5}

  3. Multiply numerators and denominators.

    25×86×5=20030\frac{25 \times 8}{6 \times 5} = \frac{200}{30}

  4. Simplify the fraction.

    200÷1030÷10=203=623\frac{200 \div 10}{30 \div 10} = \frac{20}{3} = 6\frac{2}{3}

    6\frac{2}{3}

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