Explained: "How do you write 278 as improper fraction?"

High School
Algebra
Pre-Algebra
Fractions

Israel Holden

Answered question

2022-02-09

How do you write

2 \frac{7}{8}

as improper fraction?

Answer & Explanation

budniji8d1

Beginner2022-02-10Added 15 answers

Think of the first number as a count of how many 1s you have. You can express 1 as a fraction where the numerator and denominator are equal. In this case, it would useful to use

1 = \frac{8}{8}

. An improper fraction is simply a sum of both terms present in the mixed number.
So our improper fraction would be:

2 + \frac{7}{8}

= 2 \cdot \frac{8}{8} + \frac{7}{8}

= \frac{16}{8} + \frac{7}{8}

We have a common denominator, we can combine the fractions:

= \frac{16 + 7}{8}

= \frac{23}{8}

This cannot be reduced further.

venenolundicoofw

Beginner2022-02-11Added 12 answers

2 \frac{7}{8} = 2 + \frac{7}{8} = (\frac{8}{8} \times 2) + \frac{7}{8} = \frac{16}{8} + \frac{7}{8} = \frac{16 + 7}{8} = \frac{23}{8}

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