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Solve four and seven eighths plus negative six and one fourth.

three and one half
one and three eighths
negative one and three eighths
negative two and two thirds

Respuesta :

abidemiokin

The sum of the given fractions is negative one and three eighths

Sum of fractions

Fractions are written as a ratio of two integers. For instance, a/b is a fraction with a and b as integers.

Given the expression

4 7/8  + (-6 1/4)

Convert the mixed fractions to improper fractions

4 7/8 = 39/8

-6 1/4 = -25/4

Substitute

4 7/8  + (-6 1/4) =. 39/8 +(-25/4)

4 7/8  + (-6 1/4) = 39/8 - 25/4

Find the Lowest common multiple

39/8 - 25/4 = 39-2(25)/8

39/8 - 25/4 = 39-50/8

39/8 - 25/4 = -11/8 = -1 3/8

Hence the sum of the given fractions is negative one and three eighths

Learn more on sum of fractions here: https://brainly.com/question/11562149

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consueloace1980

How do we solve fractions step by step?Conversion a mixed number 6  1/4 to a improper fraction: 6 1/4 = 6  1/4 = 6 · 4 + 1/4 = 24 + 1/4 = 25/4To find a new numerator:a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4 = 24/4b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25c) Write a previous answer (new numerator 25) over the denominator 4.Six and one quarter is twenty-five quartersUnary minus: -25/4 = -25/4Conversion a mixed number 4  7/8 to a improper fraction: 4 7/8 = 4  7/8 = 4 · 8 + 7/8 = 32 + 7/8 = 39/8To find a new numerator:a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8/8 = 32/8b) Add the answer from previous step 32 to the numerator 7. New numerator is 32 + 7 = 39c) Write a previous answer (new numerator 39) over the denominator 8.Four and seven eighths is thirty-nine eighthsAdd: 39/8 + the result of step No. 2 = 39/8 + (-25/4) = 39/8 + (-25) · 2/4 · 2 = 39/8 + (-50/8) = 39 + (-50)/8 = -11/8For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 4) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 4 = 32. In the following intermediate step, it cannot further simplify the fraction result by canceling.In other words - thirty-nine eighths plus minus twenty-five quarters is minus eleven eighths.

hope this helps

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