We read your photo as:

The image contains several mathematical problems labeled (7) through (10), involving fractions and operations, likely addition or subtraction, with diagrams.

Mathematics

ScanSolve AI Answer

Step-by-step solution

17 steps

Here are the solutions for each problem by adding the fractions connected to the central oval:

7)

  1. The fractions are 316\frac{3}{16}, 516\frac{5}{16}, and 616\frac{6}{16}.

    They already have a common denominator.

  2. Add the numerators.

    316+516+616=3+5+616=1416\frac{3}{16} + \frac{5}{16} + \frac{6}{16} = \frac{3 + 5 + 6}{16} = \frac{14}{16}

  3. Simplify the fraction.

    1416=14÷216÷2=78\frac{14}{16} = \frac{14 \div 2}{16 \div 2} = \frac{7}{8}

    The value for (7) is 78\boxed{\frac{7}{8}}.

    8)

  4. Convert the mixed number to an improper fraction.

    113=1×3+13=431\frac{1}{3} = \frac{1 \times 3 + 1}{3} = \frac{4}{3}

    The fractions are 79\frac{7}{9}, 43\frac{4}{3}, and 12\frac{1}{2}.

  5. Find a common denominator for 9, 3, and 2, which is 18.

    79=7×29×2=1418\frac{7}{9} = \frac{7 \times 2}{9 \times 2} = \frac{14}{18} 43=4×63×6=2418\frac{4}{3} = \frac{4 \times 6}{3 \times 6} = \frac{24}{18} 12=1×92×9=918\frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18}

  6. Add the fractions.

    1418+2418+918=14+24+918=4718\frac{14}{18} + \frac{24}{18} + \frac{9}{18} = \frac{14 + 24 + 9}{18} = \frac{47}{18}

  7. Convert the improper fraction to a mixed number.

    4718=21118\frac{47}{18} = 2\frac{11}{18}

    The value for (8) is 21118\boxed{2\frac{11}{18}}.

    9)

  8. Convert mixed numbers to improper fractions and simplify fractions.

    912=9×2+12=1929\frac{1}{2} = \frac{9 \times 2 + 1}{2} = \frac{19}{2} 3315=315=3×5+15=1653\frac{3}{15} = 3\frac{1}{5} = \frac{3 \times 5 + 1}{5} = \frac{16}{5} 210=15\frac{2}{10} = \frac{1}{5}

    The fractions are 192\frac{19}{2}, 165\frac{16}{5}, and 15\frac{1}{5}.

  9. Add the fractions.

    192+165+15=192+(165+15)\frac{19}{2} + \frac{16}{5} + \frac{1}{5} = \frac{19}{2} + \left(\frac{16}{5} + \frac{1}{5}\right) =192+175= \frac{19}{2} + \frac{17}{5}

  10. Find a common denominator for 2 and 5, which is 10.

    192=19×52×5=9510\frac{19}{2} = \frac{19 \times 5}{2 \times 5} = \frac{95}{10} 175=17×25×2=3410\frac{17}{5} = \frac{17 \times 2}{5 \times 2} = \frac{34}{10}

  11. Add the fractions.

    9510+3410=95+3410=12910\frac{95}{10} + \frac{34}{10} = \frac{95 + 34}{10} = \frac{129}{10}

  12. Convert the improper fraction to a mixed number.

    12910=12910\frac{129}{10} = 12\frac{9}{10}

    The value for (9) is 12910\boxed{12\frac{9}{10}}.

    10)

  13. Convert mixed numbers to improper fractions.

    434=4×4+34=1944\frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{19}{4} 215=2×5+15=1152\frac{1}{5} = \frac{2 \times 5 + 1}{5} = \frac{11}{5}

    The fractions are 194\frac{19}{4}, 115\frac{11}{5}, and 310\frac{3}{10}.

  14. Find a common denominator for 4, 5, and 10, which is 20.

    194=19×54×5=9520\frac{19}{4} = \frac{19 \times 5}{4 \times 5} = \frac{95}{20} 115=11×45×4=4420\frac{11}{5} = \frac{11 \times 4}{5 \times 4} = \frac{44}{20} 310=3×210×2=620\frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20}

  15. Add the fractions.

    9520+4420+620=95+44+620=14520\frac{95}{20} + \frac{44}{20} + \frac{6}{20} = \frac{95 + 44 + 6}{20} = \frac{145}{20}

  16. Simplify the fraction.

    14520=145÷520÷5=294\frac{145}{20} = \frac{145 \div 5}{20 \div 5} = \frac{29}{4}

  17. Convert the improper fraction to a mixed number.

    294=714\frac{29}{4} = 7\frac{1}{4}

    The value for (10) is 714\boxed{7\frac{1}{4}}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QIn triangle ABC, AB=AC and ∠BAC = 40°. The bisector of ∠ABC meets side AC at D. What is ∠BDC?QFind the determinant of the matrix [x, p, 0; 1-x, −2, 3; 1, 1+x, 4] in terms of x.QFind the determinant of PQExpress the following ratios as (A) fraction (B) Decimal (C) percentageQ6r+2t−3(-r-t)+t+sr
Browse by topic:Pre-Algebra
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.