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noname [10]
3 years ago
10

Does 2 1/3-1 3/4 need require renaming

Mathematics
1 answer:
ANEK [815]3 years ago
6 0

Answer:

\frac{7}{12}

Step-by-step explanation:

2 \frac{1}{3}  - 1 \frac{3}{4}

The fractions above are known as mixed numbers (that is, fractions that contain the combination of a whole number and proper fraction). The mixed numbers can equally be renamed as improper fractions. However, renaming can only occur the the mixed numbers are being transformed as below:

\frac{7}{3}  -  \frac{7}{4}

The transformation occur through a simple approach thus: for the first mixed number; 2 1/3 = 2 multiplied by 3 plus 1 divide by 3 equals 7/3. Similarly, mixed number 1 3/4 is transformed by this: 1 multiplied by 4 plus 3 divide by 4 equals 7/4.

Simplifying further to arrive at final result implies,

\frac{7}{3}  -  \frac{7}{4}

Take the LCM of the denominators (4 × 3 =12) and simplify thus:

=   \frac{28 - 21}{12}

=  \frac{7}{12}

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